What are the solutions to the equation a^3=-1 ?

The solutions to the equation a^3=-1 are a=-1,a= 1/2-(sqrt(3))/2 i,a= 1/2+(sqrt(3))/2 i

Find the zeros of a^3=-1

The zeros of a^3=-1 are a=-1,a= 1/2-(sqrt(3))/2 i,a= 1/2+(sqrt(3))/2 i

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a^{3} = - 1

a = - 1, a = \frac{1}{2} - \frac{3}{2} i, a = \frac{1}{2} + \frac{3}{2} i

Solution steps

a^{3} = - 1

For

x^{3} = f (a)

the solutions are

Simplify

a = - 1, a = \frac{1}{2} - \frac{3}{2} i, a = \frac{1}{2} + \frac{3}{2} i

x, x^{2} + (y - \frac{x ^{2}}{3})^{2} = 1

x^{4} - 25 x^{2} = 0

x^{3} - 16 x = 0

x^{4} + 4 = 0

z^{3} = - 1

What are the solutions to the equation a^3=-1 ?
The solutions to the equation a^3=-1 are a=-1,a= 1/2-(sqrt(3))/2 i,a= 1/2+(sqrt(3))/2 i
Find the zeros of a^3=-1
The zeros of a^3=-1 are a=-1,a= 1/2-(sqrt(3))/2 i,a= 1/2+(sqrt(3))/2 i