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

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

Find the zeros of factor x^3+512=0

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

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factor

x^{3} + 512 = 0

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

Solution steps

x^{3} + 512 = 0

Factor

x^{3} + 512 : (x + 8) (x^{2} - 8 x + 64)

(x + 8) (x^{2} - 8 x + 64) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 8 = 0 or x^{2} - 8 x + 64 = 0

Solve

x + 8 = 0 : x = - 8

Solve

x^{2} - 8 x + 64 = 0 : x = 4 + 43 i, x = 4 - 43 i

The solutions are

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

x^{3} - 5 x - 8 = 0

4 x + 8 = 2 x^{3}

x^{4} - 2 x^{3} - 10 x^{2} + 18 x + 9 = 0

4 (\frac{x ^{3}}{4})^{3} - 16 x = 0

x^{5} = - 243

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