Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 14/(x-3)=-7/9
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Equation x^4+2*x^2-8=0
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Equation 9x−9(x+1)=−2x
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Equation x^4+4=0
- Express {x} in terms of y where:
- -17*x+1*y=-11
- 1*x+4*y=20
- -18*x-2*y=9
- -20*x-14*y=5
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Identical expressions
- - sixty-eight (x^ three)sin(17x^ four)= zero
- minus 68(x cubed ) sinus of (17x to the power of 4) equally 0
- minus sixty minus eight (x to the power of three) sinus of (17x to the power of four) equally zero
- -68(x3)sin(17x4)=0
- -68x3sin17x4=0
- -68(x³)sin(17x⁴)=0
- -68(x to the power of 3)sin(17x to the power of 4)=0
- -68x^3sin17x^4=0
- -68(x^3)sin(17x^4)=O
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Similar expressions
- 68(x^3)sin(17x^4)=0
-68(x^3)sin(17x^4)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
3/4 4 ____
-17 *\/ pi
x2 = --------------
17
$$x_{2} = - \frac{17^{\frac{3}{4}} \sqrt[4]{\pi}}{17}$$
3/4 4 ____
17 *\/ pi
x3 = ------------
17
$$x_{3} = \frac{17^{\frac{3}{4}} \sqrt[4]{\pi}}{17}$$
3/4 4 ____
-I*17 *\/ pi
x4 = ----------------
17
$$x_{4} = - \frac{17^{\frac{3}{4}} i \sqrt[4]{\pi}}{17}$$
3/4 4 ____
I*17 *\/ pi
x5 = --------------
17
$$x_{5} = \frac{17^{\frac{3}{4}} i \sqrt[4]{\pi}}{17}$$
Sum and product of roots
[src]
sum
3/4 4 ____ 3/4 4 ____ 3/4 4 ____ 3/4 4 ____
17 *\/ pi 17 *\/ pi I*17 *\/ pi I*17 *\/ pi
0 + 0 - ------------ + ------------ - -------------- + --------------
17 17 17 17
$$\left(\left(\left(- \frac{17^{\frac{3}{4}} \sqrt[4]{\pi}}{17} + \left(0 + 0\right)\right) + \frac{17^{\frac{3}{4}} \sqrt[4]{\pi}}{17}\right) - \frac{17^{\frac{3}{4}} i \sqrt[4]{\pi}}{17}\right) + \frac{17^{\frac{3}{4}} i \sqrt[4]{\pi}}{17}$$
=
0
$$0$$
product
3/4 4 ____ 3/4 4 ____ 3/4 4 ____ 3/4 4 ____
-17 *\/ pi 17 *\/ pi -I*17 *\/ pi I*17 *\/ pi
1*0*--------------*------------*----------------*--------------
17 17 17 17
$$1 \cdot 0 \left(- \frac{17^{\frac{3}{4}} \sqrt[4]{\pi}}{17}\right) \frac{17^{\frac{3}{4}} \sqrt[4]{\pi}}{17} \left(- \frac{17^{\frac{3}{4}} i \sqrt[4]{\pi}}{17}\right) \frac{17^{\frac{3}{4}} i \sqrt[4]{\pi}}{17}$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = -36.8877491253399
x2 = -0.655654789182101
x3 = -12.4275572150812
x4 = -5.30410675451565
x5 = -7.77290757633202
x6 = 12.2193490275765
x7 = -6.31888115605825
x8 = 3.43001241713613
x9 = -12.8893251471479
x10 = 7.89043106949353
x11 = 0.0
x12 = 14.1106409072684
x13 = -19.9145156230852
x14 = 24.1801088258226
x15 = 3.59614655711743
x16 = 0.98043258990531
x16 = 0.98043258990531
The graph