What are the solutions to the equation roots x^4-2x^2+1 ?

The solutions to the equation roots x^4-2x^2+1 are x=1,x=-1

Find the zeros of roots x^4-2x^2+1

The zeros of roots x^4-2x^2+1 are x=1,x=-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

x^{4} - 2 x^{2} + 1

x = 1, x = - 1

Solution steps

x^{4} - 2 x^{2} + 1

The roots are the intercepts with the x-axis

(y = 0)

x^{4} - 2 x^{2} + 1 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 2 u + 1 = 0

Solve

u^{2} - 2 u + 1 = 0 : u = 1

u = 1

Substitute back

u = x^{2},

solve for

x

Solve

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

The solutions are

x = 1, x = - 1

4 x^{3} - 9 x^{2} - 1 = \frac{1}{2}

10 x^{9} - 9 x^{10} = 0.75

(2 z - i)^{3} = 33

(2 x - 1) (x^{2} + 2 x + 1) = 2 x^{2} + 2 x

x^{3} + 1

What are the solutions to the equation roots x^4-2x^2+1 ?
The solutions to the equation roots x^4-2x^2+1 are x=1,x=-1
Find the zeros of roots x^4-2x^2+1
The zeros of roots x^4-2x^2+1 are x=1,x=-1