Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x+7*4=40
-
Equation z^2+z+2=0
-
Equation 3*x^2+6*x+3=0
-
Equation -4x+3=2x
- Express {x} in terms of y where:
- -6*x+16*y=3
- -9*x-14*y=15
- 17*x+1*y=11
- 18*x+4*y=-12
-
Identical expressions
- x^ four +x^ three +3x^ two +32x- ten = zero
- x to the power of 4 plus x cubed plus 3x squared plus 32x minus 10 equally 0
- x to the power of four plus x to the power of three plus 3x to the power of two plus 32x minus ten equally zero
- x4+x3+3x2+32x-10=0
- x⁴+x³+3x²+32x-10=0
- x to the power of 4+x to the power of 3+3x to the power of 2+32x-10=0
- x^4+x^3+3x^2+32x-10=O
-
Similar expressions
- x^4+x^3+3x^2+32x+10=0
- x^4-x^3+3x^2+32x-10=0
- x^4+x^3+3x^2-32x-10=0
- x^4+x^3-3x^2+32x-10=0
x^4+x^3+3x^2+32x-10=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4 3 2 x + x + 3*x + 32*x - 10 = 0
$$\left(32 x + \left(3 x^{2} + \left(x^{4} + x^{3}\right)\right)\right) - 10 = 0$$
Rapid solution
[src]
____
3 \/ 13
x1 = - - + ------
2 2
$$x_{1} = - \frac{3}{2} + \frac{\sqrt{13}}{2}$$
____
3 \/ 13
x2 = - - - ------
2 2
$$x_{2} = - \frac{\sqrt{13}}{2} - \frac{3}{2}$$
x3 = 1 - 3*I
$$x_{3} = 1 - 3 i$$
x4 = 1 + 3*I
$$x_{4} = 1 + 3 i$$
x4 = 1 + 3*i
Sum and product of roots
[src]
sum
____ ____ 3 \/ 13 3 \/ 13 - - + ------ + - - - ------ + 1 - 3*I + 1 + 3*I 2 2 2 2
$$\left(\left(\left(- \frac{\sqrt{13}}{2} - \frac{3}{2}\right) + \left(- \frac{3}{2} + \frac{\sqrt{13}}{2}\right)\right) + \left(1 - 3 i\right)\right) + \left(1 + 3 i\right)$$
=
-1
$$-1$$
product
/ ____\ / ____\ | 3 \/ 13 | | 3 \/ 13 | |- - + ------|*|- - - ------|*(1 - 3*I)*(1 + 3*I) \ 2 2 / \ 2 2 /
$$\left(- \frac{3}{2} + \frac{\sqrt{13}}{2}\right) \left(- \frac{\sqrt{13}}{2} - \frac{3}{2}\right) \left(1 - 3 i\right) \left(1 + 3 i\right)$$
=
-10
$$-10$$
-10
Numerical answer
[src]
x1 = 1.0 - 3.0*i
x2 = -3.30277563773199
x3 = 1.0 + 3.0*i
x4 = 0.302775637731995
x4 = 0.302775637731995