Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x-6/x=-1
- Equation 1-y^2=2+x
-
Equation 1-7*(4+2*x)=-9-4*x
-
Equation sin(x)=2
- Express {x} in terms of y where:
- 4*x+3*y=-15
- -6*x+1*y=14
- 1*x+7*y=8
- 20*x-4*y=-7
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Identical expressions
- x^ four - nine *x^ two + sixty *x- one hundred = zero
- x to the power of 4 minus 9 multiply by x squared plus 60 multiply by x minus 100 equally 0
- x to the power of four minus nine multiply by x to the power of two plus sixty multiply by x minus one hundred equally zero
- x4-9*x2+60*x-100=0
- x⁴-9*x²+60*x-100=0
- x to the power of 4-9*x to the power of 2+60*x-100=0
- x^4-9x^2+60x-100=0
- x4-9x2+60x-100=0
- x^4-9*x^2+60*x-100=O
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Similar expressions
- x^4-9*x^2-60*x-100=0
- x^4+9*x^2+60*x-100=0
- x^4-9*x^2+60*x+100=0
x^4-9*x^2+60*x-100=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4 2 x - 9*x + 60*x - 100 = 0
$$\left(60 x + \left(x^{4} - 9 x^{2}\right)\right) - 100 = 0$$
Rapid solution
[src]
x1 = -5
$$x_{1} = -5$$
x2 = 2
$$x_{2} = 2$$
____
3 I*\/ 31
x3 = - - --------
2 2
$$x_{3} = \frac{3}{2} - \frac{\sqrt{31} i}{2}$$
____
3 I*\/ 31
x4 = - + --------
2 2
$$x_{4} = \frac{3}{2} + \frac{\sqrt{31} i}{2}$$
x4 = 3/2 + sqrt(31)*i/2
Sum and product of roots
[src]
sum
____ ____
3 I*\/ 31 3 I*\/ 31
-5 + 2 + - - -------- + - + --------
2 2 2 2
$$\left(\left(-5 + 2\right) + \left(\frac{3}{2} - \frac{\sqrt{31} i}{2}\right)\right) + \left(\frac{3}{2} + \frac{\sqrt{31} i}{2}\right)$$
=
0
$$0$$
product
/ ____\ / ____\
|3 I*\/ 31 | |3 I*\/ 31 |
-5*2*|- - --------|*|- + --------|
\2 2 / \2 2 /
$$- 10 \left(\frac{3}{2} - \frac{\sqrt{31} i}{2}\right) \left(\frac{3}{2} + \frac{\sqrt{31} i}{2}\right)$$
=
-100
$$-100$$
-100
Numerical answer
[src]
x1 = 1.5 + 2.78388218141501*i
x2 = -5.0
x3 = 1.5 - 2.78388218141501*i
x4 = 2.0
x4 = 2.0