What are the solutions to the equation x^4-20x^2+99=0 ?

The solutions to the equation x^4-20x^2+99=0 are x=sqrt(11),x=-sqrt(11),x=3,x=-3

Find the zeros of x^4-20x^2+99=0

The zeros of x^4-20x^2+99=0 are x=sqrt(11),x=-sqrt(11),x=3,x=-3

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x^{4} - 20 x^{2} + 99 = 0

x = 11, x = - 11, x = 3, x = - 3

Solution steps

x^{4} - 20 x^{2} + 99 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 20 u + 99 = 0

Solve

u^{2} - 20 u + 99 = 0 : u = 11, u = 9

u = 11, u = 9

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 11 : x = 11, x = - 11

Solve

x^{2} = 9 : x = 3, x = - 3

The solutions are

x = 11, x = - 11, x = 3, x = - 3

3 x (8 x - 9) (x^{2} + 64) = 0

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

5^{2} + 10 = 7 x^{5}

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

x (x - 3)^{2} - 4 (x - 3)^{3} = 0

What are the solutions to the equation x^4-20x^2+99=0 ?
The solutions to the equation x^4-20x^2+99=0 are x=sqrt(11),x=-sqrt(11),x=3,x=-3
Find the zeros of x^4-20x^2+99=0
The zeros of x^4-20x^2+99=0 are x=sqrt(11),x=-sqrt(11),x=3,x=-3