What are the solutions to the equation x^4-6x^2+9=0 ?

The solutions to the equation x^4-6x^2+9=0 are x=sqrt(3),x=-sqrt(3)

Find the zeros of x^4-6x^2+9=0

The zeros of x^4-6x^2+9=0 are x=sqrt(3),x=-sqrt(3)

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x^{4} - 6 x^{2} + 9 = 0

x = 3, x = - 3

Decimal Notation

x = 1.73205 \dots, x = - 1.73205 \dots

Solution steps

x^{4} - 6 x^{2} + 9 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 6 u + 9 = 0

Solve

u^{2} - 6 u + 9 = 0 : u = 3

u = 3

Substitute back

u = x^{2},

solve for

x

Solve

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

The solutions are

x = 3, x = - 3

3 x^{3} + 5 x^{2} + 4 x - 1 = 0

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

v^{3} - 2 v^{2} - 16 v = - 32

r^{4} - 2 r^{3} + 10 r^{2} - 18 r + 9 = 0

0 = x^{3} + 2 x^{2} - 4 x - 8

What are the solutions to the equation x^4-6x^2+9=0 ?
The solutions to the equation x^4-6x^2+9=0 are x=sqrt(3),x=-sqrt(3)
Find the zeros of x^4-6x^2+9=0
The zeros of x^4-6x^2+9=0 are x=sqrt(3),x=-sqrt(3)