What are the solutions to the equation z^3=125 ?

The solutions to the equation z^3=125 are z=5,z=-5/2+(5sqrt(3))/2 i,z=-5/2-(5sqrt(3))/2 i

Find the zeros of z^3=125

The zeros of z^3=125 are z=5,z=-5/2+(5sqrt(3))/2 i,z=-5/2-(5sqrt(3))/2 i

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z^{3} = 125

z = 5, z = - \frac{5}{2} + \frac{5 3}{2} i, z = - \frac{5}{2} - \frac{5 3}{2} i

Solution steps

z^{3} = 125

For

x^{3} = f (a)

the solutions are

Simplify

z = 5, z = - \frac{5}{2} + \frac{5 3}{2} i, z = - \frac{5}{2} - \frac{5 3}{2} i

x (x - 1)^{2} + 14 (x - 1)^{3} = 0

x^{4} = 6

x^{4} - 4 x^{3} + x^{2} + 6 x = 0

3 x^{4} + 16 x^{2} + 17 = 0

z^{3} = - 64

What are the solutions to the equation z^3=125 ?
The solutions to the equation z^3=125 are z=5,z=-5/2+(5sqrt(3))/2 i,z=-5/2-(5sqrt(3))/2 i
Find the zeros of z^3=125
The zeros of z^3=125 are z=5,z=-5/2+(5sqrt(3))/2 i,z=-5/2-(5sqrt(3))/2 i