What are the solutions to the equation z^3+216=0 ?

The solutions to the equation z^3+216=0 are z=-6,z=3-3sqrt(3)i,z=3+3sqrt(3)i

Find the zeros of z^3+216=0

The zeros of z^3+216=0 are z=-6,z=3-3sqrt(3)i,z=3+3sqrt(3)i

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z^{3} + 216 = 0

z = - 6, z = 3 - 33 i, z = 3 + 33 i

Solution steps

z^{3} + 216 = 0

Move

216

to the right side

z^{3} = - 216

For

x^{3} = f (a)

the solutions are

Simplify

z = - 6, z = 3 - 33 i, z = 3 + 33 i

(3 x)^{3} (2 x)^{2} = 2300

y, y^{5} - 1 = x

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

- x^{3} + 5 x^{2} + 25 x - 125 = 0

z^{3} = - 1 - i

What are the solutions to the equation z^3+216=0 ?
The solutions to the equation z^3+216=0 are z=-6,z=3-3sqrt(3)i,z=3+3sqrt(3)i
Find the zeros of z^3+216=0
The zeros of z^3+216=0 are z=-6,z=3-3sqrt(3)i,z=3+3sqrt(3)i