What are the solutions to the equation x^4-10x^2+9=0 ?

The solutions to the equation x^4-10x^2+9=0 are x=3,x=-3,x=1,x=-1

Find the zeros of x^4-10x^2+9=0

The zeros of x^4-10x^2+9=0 are x=3,x=-3,x=1,x=-1

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x^{4} - 10 x^{2} + 9 = 0

x = 3, x = - 3, x = 1, x = - 1

Solution steps

x^{4} - 10 x^{2} + 9 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 10 u + 9 = 0

Solve

u^{2} - 10 u + 9 = 0 : u = 9, u = 1

u = 9, u = 1

Substitute back

u = x^{2},

solve for

x

Solve

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

Solve

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

The solutions are

x = 3, x = - 3, x = 1, x = - 1

a (\frac{b ( e ^{b t} - 1 )}{t} - b e^{b t} \frac{1}{t} + e^{b t} \frac{1}{t ^{2}} - \frac{1}{t ^{2}})

a^{4} + 13 a^{2} + 40

\frac{3 π}{8} + \frac{π}{8}

t^{2} + t - 30

- 26 x yz + 52 x^{2} y z^{2}

What are the solutions to the equation x^4-10x^2+9=0 ?
The solutions to the equation x^4-10x^2+9=0 are x=3,x=-3,x=1,x=-1
Find the zeros of x^4-10x^2+9=0
The zeros of x^4-10x^2+9=0 are x=3,x=-3,x=1,x=-1