What are the solutions to the equation x^3+512=0 ?

The solutions to the equation x^3+512=0 are x=-8,x=4-4sqrt(3)i,x=4+4sqrt(3)i

Find the zeros of x^3+512=0

The zeros of x^3+512=0 are x=-8,x=4-4sqrt(3)i,x=4+4sqrt(3)i

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x^{3} + 512 = 0

x = - 8, x = 4 - 43 i, x = 4 + 43 i

Solution steps

x^{3} + 512 = 0

Move

512

to the right side

x^{3} = - 512

For

x^{3} = f (a)

the solutions are

Simplify

x = - 8, x = 4 - 43 i, x = 4 + 43 i

4 x^{3} - 25 x = 0

0 = 18 x^{4} + 87 x^{3} + 3 x^{2} - 108 x

= x^{2} x^{46}

x^{4} = x

x - x^{3} = 0

What are the solutions to the equation x^3+512=0 ?
The solutions to the equation x^3+512=0 are x=-8,x=4-4sqrt(3)i,x=4+4sqrt(3)i
Find the zeros of x^3+512=0
The zeros of x^3+512=0 are x=-8,x=4-4sqrt(3)i,x=4+4sqrt(3)i