What are the solutions to the equation x^6-9x^2-8x^4=0 ?

The solutions to the equation x^6-9x^2-8x^4=0 are x=0,x=i,x=-i,x=3,x=-3

Find the zeros of x^6-9x^2-8x^4=0

The zeros of x^6-9x^2-8x^4=0 are x=0,x=i,x=-i,x=3,x=-3

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x^{6} - 9 x^{2} - 8 x^{4} = 0

x = 0, x = i, x = - i, x = 3, x = - 3

Solution steps

x^{6} - 9 x^{2} - 8 x^{4} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

x^{6} - 8 x^{4} - 9 x^{2} = 0

Rewrite the equation with

u = x^{2}, u^{2} = x^{4}

and

u^{3} = x^{6}

u^{3} - 8 u^{2} - 9 u = 0

Solve

u^{3} - 8 u^{2} - 9 u = 0 : u = 0, u = - 1, u = 9

u = 0, u = - 1, u = 9

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 0 : x = 0

Solve

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

Solve

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

The solutions are

x = 0, x = i, x = - i, x = 3, x = - 3

2 x^{3} - 50 x = 0

a, 54 = a^{4}

p (2 p - 5)^{2} - 3 (2 p - 5) = 0

x^{3} - 6 x^{2} - 15 x + 40 = 0

(12 x - 1) (6 x - 1) (4 x - 1) (3 x - 1) = 5

What are the solutions to the equation x^6-9x^2-8x^4=0 ?
The solutions to the equation x^6-9x^2-8x^4=0 are x=0,x=i,x=-i,x=3,x=-3
Find the zeros of x^6-9x^2-8x^4=0
The zeros of x^6-9x^2-8x^4=0 are x=0,x=i,x=-i,x=3,x=-3