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

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

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z^6-z^3-2=0

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

Solution steps

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

Rewrite the equation with

u = z^{3}

and

u^{2} = z^{6}

u^{2} - u - 2 = 0

Solve

u^{2} - u - 2 = 0 : u = 2, u = - 1

u = 2, u = - 1

Substitute back

u = z^{3},

solve for

z

Solve

z^{3} = - 1 : z = - 1, z = \frac{1}{2} - \frac{3}{2} i, z = \frac{1}{2} + \frac{3}{2} i

The solutions are

x^{3} - 9 x^{2} - 25 x + 33 = 0

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

x (x^{2} + 4) = 0

m^{3} + 4 m = 0

r^{4} + r^{3} - 7 r^{2} - r + 6 = 0

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