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- Equation:
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Equation cos(x)-1=0
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Equation 2x^2-3x-2=0
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Equation x^4=1
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Equation x/4+x=12
- Express {x} in terms of y where:
- -5*x-2*y=9
- -10*x-12*y=-10
- 8*x+1*y=4
- 20*x-16*y=7
-
Identical expressions
- two , forty-nine *x+ thirty . eighty-four =(forty-eight . twenty-four /x^ two)+ five . twenty-five
- 2,49 multiply by x plus 30.84 equally (48.24 divide by x squared ) plus 5.25
- two , forty minus nine multiply by x plus thirty . eighty minus four equally (forty minus eight . twenty minus four divide by x to the power of two) plus five . twenty minus five
- 2,49*x+30.84=(48.24/x2)+5.25
- 2,49*x+30.84=48.24/x2+5.25
- 2,49*x+30.84=(48.24/x²)+5.25
- 2,49*x+30.84=(48.24/x to the power of 2)+5.25
- 2,49x+30.84=(48.24/x^2)+5.25
- 2,49x+30.84=(48.24/x2)+5.25
- 2,49x+30.84=48.24/x2+5.25
- 2,49x+30.84=48.24/x^2+5.25
- 2,49*x+30.84=(48.24 divide by x^2)+5.25
-
Similar expressions
- 2,49*x-30.84=(48.24/x^2)+5.25
- 2,49*x+30.84=(48.24/x^2)-5.25
2,49*x+30.84=(48.24/x^2)+5.25 equation
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The solution
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[src]
249*x 771 1206 21
----- + --- = ----- + --
100 25 2 4
25*x
$$\frac{249 x}{100} + \frac{771}{25} = \frac{21}{4} + \frac{1206}{25 x^{2}}$$
Rapid solution
[src]
/ 1 \ / / 1 \ \
727609*re|-------------------------------------------------------| / / _____________\\ | 727609*im|-------------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\
| __________________________________| | |1494*\/ 73147554314 || | | __________________________________| | |1494*\/ 73147554314 || | |1494*\/ 73147554314 ||| | |1494*\/ 73147554314 ||
|/ ___\ / _____________ | |atan|--------------------|| | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------||
|| 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| ___ | \ 471104065 /|| ___ | \ 471104065 /|
||- - - -------|*3 / --------- + -------------------- | 853*cos|--------------------------| | ||- - - -------|*3 / --------- + -------------------- | 853*sin|--------------------------| 853*\/ 3 *cos|--------------------------|| 853*\/ 3 *sin|--------------------------|
853 \\ 2 2 / \/ 571787 6889 / \ 3 / | \\ 2 2 / \/ 571787 6889 / \ 3 / \ 3 /| \ 3 /
x1 = - --- - ------------------------------------------------------------------ + ----------------------------------- + I*|- ------------------------------------------------------------------ + ----------------------------------- + -----------------------------------------| - -----------------------------------------
249 20667 498 \ 20667 498 498 / 498
$$x_{1} = - \frac{853}{249} - \frac{853 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + \frac{853 \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + i \left(- \frac{727609 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + \frac{853 \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498}\right)$$
/ 1 \ / / 1 \ \
727609*re|-------------------------------------------------------| / / _____________\\ | 727609*im|-------------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\
| __________________________________| | |1494*\/ 73147554314 || | | __________________________________| | |1494*\/ 73147554314 || | |1494*\/ 73147554314 ||| | |1494*\/ 73147554314 ||
|/ ___\ / _____________ | |atan|--------------------|| | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------||
|| 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| ___ | \ 471104065 /|| ___ | \ 471104065 /|
||- - + -------|*3 / --------- + -------------------- | 853*cos|--------------------------| | ||- - + -------|*3 / --------- + -------------------- | 853*sin|--------------------------| 853*\/ 3 *cos|--------------------------|| 853*\/ 3 *sin|--------------------------|
853 \\ 2 2 / \/ 571787 6889 / \ 3 / | \\ 2 2 / \/ 571787 6889 / \ 3 / \ 3 /| \ 3 /
x2 = - --- - ------------------------------------------------------------------ + ----------------------------------- + I*|- ------------------------------------------------------------------ + ----------------------------------- - -----------------------------------------| + -----------------------------------------
249 20667 498 \ 20667 498 498 / 498
$$x_{2} = - \frac{853}{249} + \frac{853 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + i \left(- \frac{853 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667}\right)$$
__________________________________
/ _____________
/ 471104065 18*I*\/ 73147554314
3 / --------- + --------------------
853 727609 \/ 571787 6889
x3 = - --- - --------------------------------------------- - ---------------------------------------
249 __________________________________ 3
/ _____________
/ 471104065 18*I*\/ 73147554314
20667*3 / --------- + --------------------
\/ 571787 6889
$$x_{3} = - \frac{853}{249} - \frac{\sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}{3} - \frac{727609}{20667 \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}$$
x3 = -853/249 - (471104065/571787 + 18*sqrt(73147554314)*i/6889)^(1/3)/3 - 727609/(20667*(471104065/571787 + 18*sqrt(73147554314)*i/6889)^(1/3))
Sum and product of roots
[src]
sum
/ 1 \ / / 1 \ \ / 1 \ / / 1 \ \
727609*re|-------------------------------------------------------| / / _____________\\ | 727609*im|-------------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\ 727609*re|-------------------------------------------------------| / / _____________\\ | 727609*im|-------------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\
| __________________________________| | |1494*\/ 73147554314 || | | __________________________________| | |1494*\/ 73147554314 || | |1494*\/ 73147554314 ||| | |1494*\/ 73147554314 || | __________________________________| | |1494*\/ 73147554314 || | | __________________________________| | |1494*\/ 73147554314 || | |1494*\/ 73147554314 ||| | |1494*\/ 73147554314 || __________________________________
|/ ___\ / _____________ | |atan|--------------------|| | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| |/ ___\ / _____________ | |atan|--------------------|| | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------|| / _____________
|| 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| ___ | \ 471104065 /|| ___ | \ 471104065 /| || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| ___ | \ 471104065 /|| ___ | \ 471104065 /| / 471104065 18*I*\/ 73147554314
||- - - -------|*3 / --------- + -------------------- | 853*cos|--------------------------| | ||- - - -------|*3 / --------- + -------------------- | 853*sin|--------------------------| 853*\/ 3 *cos|--------------------------|| 853*\/ 3 *sin|--------------------------| ||- - + -------|*3 / --------- + -------------------- | 853*cos|--------------------------| | ||- - + -------|*3 / --------- + -------------------- | 853*sin|--------------------------| 853*\/ 3 *cos|--------------------------|| 853*\/ 3 *sin|--------------------------| 3 / --------- + --------------------
853 \\ 2 2 / \/ 571787 6889 / \ 3 / | \\ 2 2 / \/ 571787 6889 / \ 3 / \ 3 /| \ 3 / 853 \\ 2 2 / \/ 571787 6889 / \ 3 / | \\ 2 2 / \/ 571787 6889 / \ 3 / \ 3 /| \ 3 / 853 727609 \/ 571787 6889
- --- - ------------------------------------------------------------------ + ----------------------------------- + I*|- ------------------------------------------------------------------ + ----------------------------------- + -----------------------------------------| - ----------------------------------------- + - --- - ------------------------------------------------------------------ + ----------------------------------- + I*|- ------------------------------------------------------------------ + ----------------------------------- - -----------------------------------------| + ----------------------------------------- + - --- - --------------------------------------------- - ---------------------------------------
249 20667 498 \ 20667 498 498 / 498 249 20667 498 \ 20667 498 498 / 498 249 __________________________________ 3
/ _____________
/ 471104065 18*I*\/ 73147554314
20667*3 / --------- + --------------------
\/ 571787 6889
$$\left(\left(- \frac{853}{249} - \frac{853 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + \frac{853 \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + i \left(- \frac{727609 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + \frac{853 \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498}\right)\right) + \left(- \frac{853}{249} + \frac{853 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + i \left(- \frac{853 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667}\right)\right)\right) + \left(- \frac{853}{249} - \frac{\sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}{3} - \frac{727609}{20667 \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)$$
=
/ 1 \ / 1 \ / / 1 \ \ / / 1 \ \
727609*re|-------------------------------------------------------| 727609*re|-------------------------------------------------------| / / _____________\\ | 727609*im|-------------------------------------------------------| / / _____________\\ / / _____________\\| | 727609*im|-------------------------------------------------------| / / _____________\\ / / _____________\\|
| __________________________________| | __________________________________| __________________________________ | |1494*\/ 73147554314 || | | __________________________________| | |1494*\/ 73147554314 || | |1494*\/ 73147554314 ||| | | __________________________________| | |1494*\/ 73147554314 || | |1494*\/ 73147554314 |||
|/ ___\ / _____________ | |/ ___\ / _____________ | / _____________ |atan|--------------------|| | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------|||
|| 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | / 471104065 18*I*\/ 73147554314 | \ 471104065 /| | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| ___ | \ 471104065 /|| | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| ___ | \ 471104065 /||
||- - + -------|*3 / --------- + -------------------- | ||- - - -------|*3 / --------- + -------------------- | 3 / --------- + -------------------- 853*cos|--------------------------| | ||- - + -------|*3 / --------- + -------------------- | 853*sin|--------------------------| 853*\/ 3 *cos|--------------------------|| | ||- - - -------|*3 / --------- + -------------------- | 853*sin|--------------------------| 853*\/ 3 *cos|--------------------------||
853 727609 \\ 2 2 / \/ 571787 6889 / \\ 2 2 / \/ 571787 6889 / \/ 571787 6889 \ 3 / | \\ 2 2 / \/ 571787 6889 / \ 3 / \ 3 /| | \\ 2 2 / \/ 571787 6889 / \ 3 / \ 3 /|
- --- - --------------------------------------------- - ------------------------------------------------------------------ - ------------------------------------------------------------------ - --------------------------------------- + ----------------------------------- + I*|- ------------------------------------------------------------------ + ----------------------------------- - -----------------------------------------| + I*|- ------------------------------------------------------------------ + ----------------------------------- + -----------------------------------------|
83 __________________________________ 20667 20667 3 249 \ 20667 498 498 / \ 20667 498 498 /
/ _____________
/ 471104065 18*I*\/ 73147554314
20667*3 / --------- + --------------------
\/ 571787 6889
$$- \frac{853}{83} - \frac{727609 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} - \frac{727609 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + \frac{853 \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{249} - \frac{\sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}{3} + i \left(- \frac{853 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667}\right) + i \left(- \frac{727609 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + \frac{853 \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498}\right) - \frac{727609}{20667 \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}$$
product
/ / 1 \ / / 1 \ \ \ / / 1 \ / / 1 \ \ \
| 727609*re|-------------------------------------------------------| / / _____________\\ | 727609*im|-------------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\| | 727609*re|-------------------------------------------------------| / / _____________\\ | 727609*im|-------------------------------------------------------| / / _____________\\ / / _____________\\| / / _____________\\|
| | __________________________________| | |1494*\/ 73147554314 || | | __________________________________| | |1494*\/ 73147554314 || | |1494*\/ 73147554314 ||| | |1494*\/ 73147554314 ||| | | __________________________________| | |1494*\/ 73147554314 || | | __________________________________| | |1494*\/ 73147554314 || | |1494*\/ 73147554314 ||| | |1494*\/ 73147554314 ||| / __________________________________\
| |/ ___\ / _____________ | |atan|--------------------|| | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------||| | |/ ___\ / _____________ | |atan|--------------------|| | |/ ___\ / _____________ | |atan|--------------------|| |atan|--------------------||| |atan|--------------------||| | / _____________ |
| || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| ___ | \ 471104065 /|| ___ | \ 471104065 /|| | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| | || 1 I*\/ 3 | / 471104065 18*I*\/ 73147554314 | | \ 471104065 /| ___ | \ 471104065 /|| ___ | \ 471104065 /|| | / 471104065 18*I*\/ 73147554314 |
| ||- - - -------|*3 / --------- + -------------------- | 853*cos|--------------------------| | ||- - - -------|*3 / --------- + -------------------- | 853*sin|--------------------------| 853*\/ 3 *cos|--------------------------|| 853*\/ 3 *sin|--------------------------|| | ||- - + -------|*3 / --------- + -------------------- | 853*cos|--------------------------| | ||- - + -------|*3 / --------- + -------------------- | 853*sin|--------------------------| 853*\/ 3 *cos|--------------------------|| 853*\/ 3 *sin|--------------------------|| | 3 / --------- + -------------------- |
| 853 \\ 2 2 / \/ 571787 6889 / \ 3 / | \\ 2 2 / \/ 571787 6889 / \ 3 / \ 3 /| \ 3 /| | 853 \\ 2 2 / \/ 571787 6889 / \ 3 / | \\ 2 2 / \/ 571787 6889 / \ 3 / \ 3 /| \ 3 /| | 853 727609 \/ 571787 6889 |
|- --- - ------------------------------------------------------------------ + ----------------------------------- + I*|- ------------------------------------------------------------------ + ----------------------------------- + -----------------------------------------| - -----------------------------------------|*|- --- - ------------------------------------------------------------------ + ----------------------------------- + I*|- ------------------------------------------------------------------ + ----------------------------------- - -----------------------------------------| + -----------------------------------------|*|- --- - --------------------------------------------- - ---------------------------------------|
\ 249 20667 498 \ 20667 498 498 / 498 / \ 249 20667 498 \ 20667 498 498 / 498 / | 249 __________________________________ 3 |
| / _____________ |
| / 471104065 18*I*\/ 73147554314 |
| 20667*3 / --------- + -------------------- |
\ \/ 571787 6889 /
$$\left(- \frac{853}{249} - \frac{853 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + \frac{853 \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + i \left(- \frac{727609 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + \frac{853 \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498}\right)\right) \left(- \frac{853}{249} + \frac{853 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667} + i \left(- \frac{853 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} + \frac{853 \sin{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}}{498} - \frac{727609 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)}}{20667}\right)\right) \left(- \frac{853}{249} - \frac{\sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}{3} - \frac{727609}{20667 \sqrt[3]{\frac{471104065}{571787} + \frac{18 \sqrt{73147554314} i}{6889}}}\right)$$
=
/ / / _____________\\ / / _____________\\\
| | |1494*\/ 73147554314 || | |1494*\/ 73147554314 |||
/ ____________________________________ / ____________________________________\\ | |2*atan|--------------------|| |atan|--------------------|||
| 3 / _____________ | 3 / _____________ || | | \ 471104065 /| | \ 471104065 /||
1455218*\727609 + \/ 471104065 + 1494*I*\/ 73147554314 *\853 + \/ 471104065 + 1494*I*\/ 73147554314 //*|- cos|----------------------------| + cos|--------------------------||
\ \ 3 / \ 3 //
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
____________________________________
3 / _____________
15438249*\/ 471104065 + 1494*I*\/ 73147554314
$$\frac{1455218 \left(727609 + \left(853 + \sqrt[3]{471104065 + 1494 \sqrt{73147554314} i}\right) \sqrt[3]{471104065 + 1494 \sqrt{73147554314} i}\right) \left(- \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)} + \cos{\left(\frac{\operatorname{atan}{\left(\frac{1494 \sqrt{73147554314}}{471104065} \right)}}{3} \right)}\right)}{15438249 \sqrt[3]{471104065 + 1494 \sqrt{73147554314} i}}$$
1455218*(727609 + (471104065 + 1494*i*sqrt(73147554314))^(1/3)*(853 + (471104065 + 1494*i*sqrt(73147554314))^(1/3)))*(-cos(2*atan(1494*sqrt(73147554314)/471104065)/3) + cos(atan(1494*sqrt(73147554314)/471104065)/3))/(15438249*(471104065 + 1494*i*sqrt(73147554314))^(1/3))
Numerical answer
[src]
x1 = 1.29394982423214
x2 = -10.0866892635566
x3 = -1.48436899441046
x3 = -1.48436899441046