What are the solutions to the equation x^4-2x^2=2x^2 ?

The solutions to the equation x^4-2x^2=2x^2 are x=2,x=-2,x=0

Find the zeros of x^4-2x^2=2x^2

The zeros of x^4-2x^2=2x^2 are x=2,x=-2,x=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{4} - 2 x^{2} = 2 x^{2}

x = 2, x = - 2, x = 0

Solution steps

x^{4} - 2 x^{2} = 2 x^{2}

Move

2 x^{2}

to the left side

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

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 4 u = 0

Solve

u^{2} - 4 u = 0 : u = 4, u = 0

u = 4, u = 0

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 4 : x = 2, x = - 2

Solve

x^{2} = 0 : x = 0

The solutions are

x = 2, x = - 2, x = 0

4 (x^{4} + 1) = 5 x^{2}

x^{3} = x^{2}

x^{3} - 6 x + 2 = 0

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

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

What are the solutions to the equation x^4-2x^2=2x^2 ?
The solutions to the equation x^4-2x^2=2x^2 are x=2,x=-2,x=0
Find the zeros of x^4-2x^2=2x^2
The zeros of x^4-2x^2=2x^2 are x=2,x=-2,x=0