Mister Exam
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How to use it?
- Equation:
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Equation (x+7)*(x-1)=0
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Equation x/3+x/4=-21
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Equation sin(x)=0
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Equation -5*(3*x-2)/7+4=7*x-4/9*(x-3)
- Express {x} in terms of y where:
- 14*x+3*y=-4
- 14*x-4*y=14
- 1*x+20*y=6
- -2*x+4*y=3
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Identical expressions
- thirty-two *x^ nine - forty-eight *x^ seven + twenty-four *x^ five - eight *x^ three = zero
- 32 multiply by x to the power of 9 minus 48 multiply by x to the power of 7 plus 24 multiply by x to the power of 5 minus 8 multiply by x cubed equally 0
- thirty minus two multiply by x to the power of nine minus forty minus eight multiply by x to the power of seven plus twenty minus four multiply by x to the power of five minus eight multiply by x to the power of three equally zero
- 32*x9-48*x7+24*x5-8*x3=0
- 32*x⁹-48*x⁷+24*x⁵-8*x³=0
- 32*x to the power of 9-48*x to the power of 7+24*x to the power of 5-8*x to the power of 3=0
- 32x^9-48x^7+24x^5-8x^3=0
- 32x9-48x7+24x5-8x3=0
- 32*x^9-48*x^7+24*x^5-8*x^3=O
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Similar expressions
- 32*x^9+48*x^7+24*x^5-8*x^3=0
- 32*x^9-48*x^7+24*x^5+8*x^3=0
- 32*x^9-48*x^7-24*x^5-8*x^3=0
32*x^9-48*x^7+24*x^5-8*x^3=0 equation
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The solution
You have entered
[src]
9 7 5 3 32*x - 48*x + 24*x - 8*x = 0
$$- 8 x^{3} + \left(24 x^{5} + \left(32 x^{9} - 48 x^{7}\right)\right) = 0$$
Rapid solution
[src]
x1 = -1
$$x_{1} = -1$$
x2 = 0
$$x_{2} = 0$$
x3 = 1
$$x_{3} = 1$$
___ ___
\/ 6 I*\/ 2
x4 = - ----- + -------
4 4
$$x_{4} = - \frac{\sqrt{6}}{4} + \frac{\sqrt{2} i}{4}$$
___ ___
\/ 6 I*\/ 2
x5 = ----- - -------
4 4
$$x_{5} = \frac{\sqrt{6}}{4} - \frac{\sqrt{2} i}{4}$$
___ ___
\/ 6 I*\/ 2
x6 = - ----- - -------
4 4
$$x_{6} = - \frac{\sqrt{6}}{4} - \frac{\sqrt{2} i}{4}$$
___ ___
\/ 6 I*\/ 2
x7 = ----- + -------
4 4
$$x_{7} = \frac{\sqrt{6}}{4} + \frac{\sqrt{2} i}{4}$$
x7 = sqrt(6)/4 + sqrt(2)*i/4
Sum and product of roots
[src]
sum
___ ___ ___ ___ ___ ___ ___ ___
\/ 6 I*\/ 2 \/ 6 I*\/ 2 \/ 6 I*\/ 2 \/ 6 I*\/ 2
-1 + 1 + - ----- + ------- + ----- - ------- + - ----- - ------- + ----- + -------
4 4 4 4 4 4 4 4
$$\left(\left(- \frac{\sqrt{6}}{4} - \frac{\sqrt{2} i}{4}\right) + \left(\left(\frac{\sqrt{6}}{4} - \frac{\sqrt{2} i}{4}\right) + \left(\left(-1 + 1\right) + \left(- \frac{\sqrt{6}}{4} + \frac{\sqrt{2} i}{4}\right)\right)\right)\right) + \left(\frac{\sqrt{6}}{4} + \frac{\sqrt{2} i}{4}\right)$$
=
0
$$0$$
product
/ ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\ | \/ 6 I*\/ 2 | |\/ 6 I*\/ 2 | | \/ 6 I*\/ 2 | |\/ 6 I*\/ 2 | -0*|- ----- + -------|*|----- - -------|*|- ----- - -------|*|----- + -------| \ 4 4 / \ 4 4 / \ 4 4 / \ 4 4 /
$$- 0 \left(- \frac{\sqrt{6}}{4} + \frac{\sqrt{2} i}{4}\right) \left(\frac{\sqrt{6}}{4} - \frac{\sqrt{2} i}{4}\right) \left(- \frac{\sqrt{6}}{4} - \frac{\sqrt{2} i}{4}\right) \left(\frac{\sqrt{6}}{4} + \frac{\sqrt{2} i}{4}\right)$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = 0.612372435695794 - 0.353553390593274*i
x2 = -0.612372435695794 - 0.353553390593274*i
x3 = 1.0
x4 = 0.0
x5 = -1.0
x6 = -0.612372435695794 + 0.353553390593274*i
x7 = 0.612372435695794 + 0.353553390593274*i
x7 = 0.612372435695794 + 0.353553390593274*i