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

The solutions to the equation roots x^3-1 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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

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

The roots are the intercepts with the x-axis

(y = 0)

x^{3} - 1 = 0

Move

1

to the right side

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

r^{3} - r^{2} - r + 1 = 0

z^{3} - z^{2} - 12 z = 0

4 x^{3} - 24 x^{2} - 60 x = 0

(z - 2)^{3} = - 64

x, 2 x^{3} + 10 x^{2} - 24 = 0

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