What are the solutions to the equation roots x^3-1=0 ?

The solutions to the equation roots x^3-1=0 are x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i

Find the zeros of roots x^3-1=0

The zeros of roots x^3-1=0 are x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i

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roots

x^{3} - 1 = 0

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

Solution steps

x^{3} - 1 = 0

Move

1

to the right side

x^{3} = 1

For

x^{3} = f (a)

the solutions are

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

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^{3} - 10 x^{2} + 19 x + 30 = 0

x^{3} = x + 1

x (x^{2} + 4 x + 4) = 3 (x + 2)

x^{3} - 9 x - 3240 = 0

2 x^{3} - 9 x^{2} + 12 x - 5 = 0

What are the solutions to the equation roots x^3-1=0 ?
The solutions to the equation roots x^3-1=0 are x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i
Find the zeros of roots x^3-1=0
The zeros of roots x^3-1=0 are x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i