What are the solutions to the equation 2z^6-15z^3-27=0 ?

The solutions to the equation 2z^6-15z^3-27=0 are

Find the zeros of 2z^6-15z^3-27=0

The zeros of 2z^6-15z^3-27=0 are

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2 z^{6} - 15 z^{3} - 27 = 0

Solution steps

2 z^{6} - 15 z^{3} - 27 = 0

Rewrite the equation with

u = z^{3}

and

u^{2} = z^{6}

2 u^{2} - 15 u - 27 = 0

Solve

2 u^{2} - 15 u - 27 = 0 : u = 9, u = - \frac{3}{2}

u = 9, u = - \frac{3}{2}

Substitute back

u = z^{3},

solve for

z

Solve

The solutions are

(x^{2} + 7 x + 49) (x - 7) = 218

4 x^{3} - 2 x^{2} + 3 x - 1 = 0

x^{3} + 5 x^{2} - 14 x - 70 = 0

x^{3} + 3 x^{2} - 58 = 0

(x + 2)^{2} = x (x^{2} - 10 x + 25)

What are the solutions to the equation 2z^6-15z^3-27=0 ?
The solutions to the equation 2z^6-15z^3-27=0 are
Find the zeros of 2z^6-15z^3-27=0
The zeros of 2z^6-15z^3-27=0 are