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Other calculators
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How to use it?
- Equation:
-
Equation x^2+11*x+30=0
-
Equation (-2-4t-1)²+(0+2t-1)²+(2+5t)²=9
-
Equation 1/3*x=12
-
Equation (|3*x-9|)-(|x+2|)=7
- Express {x} in terms of y where:
- 8*x-13*y=16
- -14*x+13*y=7
- -17*x-8*y=-8
- 12*x-15*y=0
- Sum of series:
-
0.06
-
Identical expressions
- (zero . five * one . two *(four hundred and eighty-six . twenty-six /x)+(zero . eighty-six * zero . seventy-six *x^ two)/(zero . eighty-three *(four hundred and eighty-six . twenty-six /x))- one . seven *(seven hundred and eighty-one . seventy-seven /x))/x= zero . six
- (0.5 multiply by 1.02 multiply by (486.26 divide by x) plus (0.086 multiply by 0.76 multiply by x squared ) divide by (0.83 multiply by (486.26 divide by x)) minus 1.07 multiply by (781.77 divide by x)) divide by x equally 0.06
- (zero . five multiply by one . two multiply by (four hundred and eighty minus six . twenty minus six divide by x) plus (zero . eighty minus six multiply by zero . seventy minus six multiply by x to the power of two) divide by (zero . eighty minus three multiply by (four hundred and eighty minus six . twenty minus six divide by x)) minus one . seven multiply by (seven hundred and eighty minus one . seventy minus seven divide by x)) divide by x equally zero . six
- (0.5*1.02*(486.26/x)+(0.086*0.76*x2)/(0.83*(486.26/x))-1.07*(781.77/x))/x=0.06
- 0.5*1.02*486.26/x+0.086*0.76*x2/0.83*486.26/x-1.07*781.77/x/x=0.06
- (0.5*1.02*(486.26/x)+(0.086*0.76*x²)/(0.83*(486.26/x))-1.07*(781.77/x))/x=0.06
- (0.5*1.02*(486.26/x)+(0.086*0.76*x to the power of 2)/(0.83*(486.26/x))-1.07*(781.77/x))/x=0.06
- (0.51.02(486.26/x)+(0.0860.76x^2)/(0.83(486.26/x))-1.07(781.77/x))/x=0.06
- (0.51.02(486.26/x)+(0.0860.76x2)/(0.83(486.26/x))-1.07(781.77/x))/x=0.06
- 0.51.02486.26/x+0.0860.76x2/0.83486.26/x-1.07781.77/x/x=0.06
- 0.51.02486.26/x+0.0860.76x^2/0.83486.26/x-1.07781.77/x/x=0.06
- (0.5*1.02*(486.26/x)+(0.086*0.76*x^2)/(0.83*(486.26/x))-1.07*(781.77/x))/x=O.06
- (0.5*1.02*(486.26 divide by x)+(0.086*0.76*x^2) divide by (0.83*(486.26 divide by x))-1.07*(781.77 divide by x)) divide by x=0.06
-
Similar expressions
- (0.5*1.02*(486.26/x)-(0.086*0.76*x^2)/(0.83*(486.26/x))-1.07*(781.77/x))/x=0.06
- (0.5*1.02*(486.26/x)+(0.086*0.76*x^2)/(0.83*(486.26/x))+1.07*(781.77/x))/x=0.06
(0.5*1.02*(486.26/x)+(0.086*0.76*x^2)/(0.83*(486.26/x))-1.07*(781.77/x))/x=0.06 equation
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The solution
You have entered
[src]
43*19 2 78177
------*x 107*-----
51 24313 500*25 100*x
----*----- + ---------- - ---------
2*50 50*x / 24313\ 100
|83*-----|
| 50*x|
|--------|
\ 100 /
----------------------------------- = 3/50
x
$$\frac{\left(\frac{51}{2 \cdot 50} \frac{24313}{50 x} + \frac{\frac{19 \cdot 43}{25 \cdot 500} x^{2}}{\frac{83}{100} \frac{24313}{50 x}}\right) - \frac{107 \frac{78177}{100 x}}{100}}{x} = \frac{3}{50}$$
Sum and product of roots
[src]
sum
_________________________________ _________________________________ ___________________________________ ___________________________________
/ ___________________ / ___________________ / ___________________ / ___________________
/ 6053937 \/ 97941806570098815 / 6053937 \/ 97941806570098815 / 6053937 \/ 97941806570098815 / 6053937 \/ 97941806570098815
- / ------- + --------------------- + / ------- + --------------------- - I* / - ------- + --------------------- + I* / - ------- + ---------------------
\/ 32680 163400 \/ 32680 163400 \/ 32680 163400 \/ 32680 163400
$$\left(\left(- \sqrt{\frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}} + \sqrt{\frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}}\right) - i \sqrt{- \frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}}\right) + i \sqrt{- \frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}}$$
=
0
$$0$$
product
_________________________________ _________________________________ / ___________________________________\ ___________________________________
/ ___________________ / ___________________ | / ___________________ | / ___________________
/ 6053937 \/ 97941806570098815 / 6053937 \/ 97941806570098815 | / 6053937 \/ 97941806570098815 | / 6053937 \/ 97941806570098815
- / ------- + --------------------- * / ------- + --------------------- *|-I* / - ------- + --------------------- |*I* / - ------- + ---------------------
\/ 32680 163400 \/ 32680 163400 \ \/ 32680 163400 / \/ 32680 163400
$$i \sqrt{- \frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}} \cdot - i \sqrt{- \frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}} \cdot - \sqrt{\frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}} \sqrt{\frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}}$$
=
-11875832648727
----------------
3268000
$$- \frac{11875832648727}{3268000}$$
-11875832648727/3268000
Rapid solution
[src]
_________________________________
/ ___________________
/ 6053937 \/ 97941806570098815
x1 = - / ------- + ---------------------
\/ 32680 163400
$$x_{1} = - \sqrt{\frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}}$$
_________________________________
/ ___________________
/ 6053937 \/ 97941806570098815
x2 = / ------- + ---------------------
\/ 32680 163400
$$x_{2} = \sqrt{\frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}}$$
___________________________________
/ ___________________
/ 6053937 \/ 97941806570098815
x3 = -I* / - ------- + ---------------------
\/ 32680 163400
$$x_{3} = - i \sqrt{- \frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}}$$
___________________________________
/ ___________________
/ 6053937 \/ 97941806570098815
x4 = I* / - ------- + ---------------------
\/ 32680 163400
$$x_{4} = i \sqrt{- \frac{6053937}{32680} + \frac{\sqrt{97941806570098815}}{163400}}$$
x4 = i*sqrt(-6053937/32680 + sqrt(97941806570098815)/163400)
Numerical answer
[src]
x1 = -41.5936271129284*i
x2 = 41.5936271129284*i
x3 = -45.8315153232521
x4 = 45.8315153232521
x4 = 45.8315153232521