What are the solutions to the equation x^3=1 ?

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

Find the zeros of x^3=1

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

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x^{3} = 1

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

Solution steps

x^{3} = 1

For

x^{3} = f (a)

the solutions are

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

Simplify

\frac{- 1 + 3 i}{2} : - \frac{1}{2} + \frac{3}{2} i

Simplify

\frac{- 1 - 3 i}{2} : - \frac{1}{2} - \frac{3}{2} i

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

x^{4} + 1 = 0

x^{3} - x = x^{2} + 2

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

3 x^{4} - 8 x^{2} + 4 = 0

z^{3} = 1

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