What are the solutions to the equation 9x^8-9=0 ?

The solutions to the equation 9x^8-9=0 are

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^8-9=0

9 x^{8} - 9 = 0

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

Solution steps

9 x^{8} - 9 = 0

Move

9

to the right side

9 x^{8} = 9

Divide both sides by

9

x^{8} = 1

Rewrite the equation with

u = x^{2}

and

u^{4} = x^{8}

u^{4} = 1

Solve

u^{4} = 1 : u = 1, u = - 1, u = i, u = - i

u = 1, u = - 1, u = i, u = - i

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 1 : x = 1, x = - 1

Solve

x^{2} = - 1 : x = i, x = - i

Solve

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

Solve

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

The solutions are

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

x^{3} - x^{2} = 1

x^{3} - 2 x^{2} + x + 18 = 0

x^{3} + 3 x^{2} - 25 x + 21

x^{4} = 80

12 x^{3} - 36 x^{2} = 0

What are the solutions to the equation 9x^8-9=0 ?
The solutions to the equation 9x^8-9=0 are
Find the zeros of 9x^8-9=0
The zeros of 9x^8-9=0 are