What are the solutions to the equation solvefor x,x^6+4x^3+16=0 ?

The solutions to the equation solvefor x,x^6+4x^3+16=0 are

Find the zeros of solvefor x,x^6+4x^3+16=0

The zeros of solvefor x,x^6+4x^3+16=0 are

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solve for

x, x^{6} + 4 x^{3} + 16 = 0

Solution steps

x^{6} + 4 x^{3} + 16 = 0

Rewrite the equation with

u = x^{3}

and

u^{2} = x^{6}

u^{2} + 4 u + 16 = 0

Solve

u^{2} + 4 u + 16 = 0 : u = - 2 + 23 i, u = - 2 - 23 i

u = - 2 + 23 i, u = - 2 - 23 i

Substitute back

u = x^{3},

solve for

x

Solve

The solutions are

x^{3} - 8 x + 7 = 0

b^{3} = 216

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

(w - 3)^{2} (w + 1)^{2} = 0

5 = \frac{4}{3} π x^{3}

What are the solutions to the equation solvefor x,x^6+4x^3+16=0 ?
The solutions to the equation solvefor x,x^6+4x^3+16=0 are
Find the zeros of solvefor x,x^6+4x^3+16=0
The zeros of solvefor x,x^6+4x^3+16=0 are