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

The solutions to the equation x^4=x^2 are x=1,x=-1,x=0

Find the zeros of x^4=x^2

The zeros of x^4=x^2 are x=1,x=-1,x=0

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x^{4} = x^{2}

x = 1, x = - 1, x = 0

Solution steps

x^{4} = x^{2}

Move

x^{2}

to the left side

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

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - u = 0

Solve

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

u = 1, u = 0

Substitute back

u = x^{2},

solve for

x

Solve

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

Solve

x^{2} = 0 : x = 0

The solutions are

x = 1, x = - 1, x = 0

x^{3} + x^{2} + 1 = 0

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

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

y, y^{3} = C x^{4} - 3 x

x^{4} = 256

What are the solutions to the equation x^4=x^2 ?
The solutions to the equation x^4=x^2 are x=1,x=-1,x=0
Find the zeros of x^4=x^2
The zeros of x^4=x^2 are x=1,x=-1,x=0