What are the solutions to the equation roots x^4+55x^2-576 ?

The solutions to the equation roots x^4+55x^2-576 are x=3,x=-3,x=8i,x=-8i

Find the zeros of roots x^4+55x^2-576

The zeros of roots x^4+55x^2-576 are x=3,x=-3,x=8i,x=-8i

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roots

x^{4} + 55 x^{2} - 576

x = 3, x = - 3, x = 8 i, x = - 8 i

Solution steps

x^{4} + 55 x^{2} - 576

The roots are the intercepts with the x-axis

(y = 0)

x^{4} + 55 x^{2} - 576 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} + 55 u - 576 = 0

Solve

u^{2} + 55 u - 576 = 0 : u = 9, u = - 64

u = 9, u = - 64

Substitute back

u = x^{2},

solve for

x

Solve

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

Solve

x^{2} = - 64 : x = 8 i, x = - 8 i

The solutions are

x = 3, x = - 3, x = 8 i, x = - 8 i

y^{3} - 9 y^{2} + 8 y + 60 = 0

2 x^{5} - 18 x = 0

x^{9} - x^{6} = 36

x^{7} - x^{4} = 0

a, a^{3} = b^{3}

What are the solutions to the equation roots x^4+55x^2-576 ?
The solutions to the equation roots x^4+55x^2-576 are x=3,x=-3,x=8i,x=-8i
Find the zeros of roots x^4+55x^2-576
The zeros of roots x^4+55x^2-576 are x=3,x=-3,x=8i,x=-8i