What are the solutions to the equation x^4+11x^2=0 ?

The solutions to the equation x^4+11x^2=0 are x=0,x=sqrt(11)i,x=-sqrt(11)i

Find the zeros of x^4+11x^2=0

The zeros of x^4+11x^2=0 are x=0,x=sqrt(11)i,x=-sqrt(11)i

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x^{4} + 11 x^{2} = 0

x = 0, x = 11 i, x = - 11 i

Solution steps

x^{4} + 11 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} + 11 u = 0

Solve

u^{2} + 11 u = 0 : u = 0, u = - 11

u = 0, u = - 11

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 0 : x = 0

Solve

x^{2} = - 11 : x = 11 i, x = - 11 i

The solutions are

x = 0, x = 11 i, x = - 11 i

x^{3} - x = 0

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

x^{3} - 13 x^{2} - x + 13 = 0

y, (4 x + 5 y)^{6} = x

x^{4} + 7 x^{2} + 18 x + 10 = 0

What are the solutions to the equation x^4+11x^2=0 ?
The solutions to the equation x^4+11x^2=0 are x=0,x=sqrt(11)i,x=-sqrt(11)i
Find the zeros of x^4+11x^2=0
The zeros of x^4+11x^2=0 are x=0,x=sqrt(11)i,x=-sqrt(11)i