What are the solutions to the equation x^4-10x^2+24=0 ?

The solutions to the equation x^4-10x^2+24=0 are x=sqrt(6),x=-sqrt(6),x=2,x=-2

Find the zeros of x^4-10x^2+24=0

The zeros of x^4-10x^2+24=0 are x=sqrt(6),x=-sqrt(6),x=2,x=-2

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x^{4} - 10 x^{2} + 24 = 0

x = 6, x = - 6, x = 2, x = - 2

Solution steps

x^{4} - 10 x^{2} + 24 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 10 u + 24 = 0

Solve

u^{2} - 10 u + 24 = 0 : u = 6, u = 4

u = 6, u = 4

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 6 : x = 6, x = - 6

Solve

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

The solutions are

x = 6, x = - 6, x = 2, x = - 2

- x^{3} + 8 x^{2} - 20 x + 16 = 0

4 x^{3} - 8 x = 0

\frac{3}{5} (5 x - 2)^{3} - 12 = 0

x (x + 1) (x + 3) = 2 (x + 3)

16 x^{4} + 24 x^{2} + 9 = 0

What are the solutions to the equation x^4-10x^2+24=0 ?
The solutions to the equation x^4-10x^2+24=0 are x=sqrt(6),x=-sqrt(6),x=2,x=-2
Find the zeros of x^4-10x^2+24=0
The zeros of x^4-10x^2+24=0 are x=sqrt(6),x=-sqrt(6),x=2,x=-2