What are the solutions to the equation x^6+3x^2=0 ?

The solutions to the equation x^6+3x^2=0 are

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x^6+3x^2=0

x^{6} + 3 x^{2} = 0

Solution steps

x^{6} + 3 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{3} = x^{6}

u^{3} + 3 u = 0

Solve

u^{3} + 3 u = 0 : u = 0, u = 3 i, u = - 3 i

u = 0, u = 3 i, u = - 3 i

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 0 : x = 0

Solve

The solutions are

- x^{4} + 1 = 0

x^{4} + 2 x^{3} + 22 x^{2} + 50 x - 75 = 0

r^{4} + 14 r^{2} - 14 = 0

x^{3} - 3 x^{2} - 25 x + 75

x^{3} - 8 x + 5 = 0

What are the solutions to the equation x^6+3x^2=0 ?
The solutions to the equation x^6+3x^2=0 are
Find the zeros of x^6+3x^2=0
The zeros of x^6+3x^2=0 are