What are the solutions to the equation x^4-11x^2+10=0 ?

The solutions to the equation x^4-11x^2+10=0 are x=sqrt(10),x=-sqrt(10),x=1,x=-1

Find the zeros of x^4-11x^2+10=0

The zeros of x^4-11x^2+10=0 are x=sqrt(10),x=-sqrt(10),x=1,x=-1

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x^{4} - 11 x^{2} + 10 = 0

x = 10, x = - 10, x = 1, x = - 1

Solution steps

x^{4} - 11 x^{2} + 10 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 11 u + 10 = 0

Solve

u^{2} - 11 u + 10 = 0 : u = 10, u = 1

u = 10, u = 1

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 10 : x = 10, x = - 10

Solve

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

The solutions are

x = 10, x = - 10, x = 1, x = - 1

x^{3} - 6 x^{2} + 3 x + 10 = 0

x^{6} - 64 = 0

x^{3} + 125 = 0

x^{3} - 6 x^{2} + 12 x - 8 = 0

x^{3} + 5 x^{2} - 4 x - 20 = 0

What are the solutions to the equation x^4-11x^2+10=0 ?
The solutions to the equation x^4-11x^2+10=0 are x=sqrt(10),x=-sqrt(10),x=1,x=-1
Find the zeros of x^4-11x^2+10=0
The zeros of x^4-11x^2+10=0 are x=sqrt(10),x=-sqrt(10),x=1,x=-1