What are the solutions to the equation 8k^6+15k^3-2=0 ?

The solutions to the equation 8k^6+15k^3-2=0 are

Find the zeros of 8k^6+15k^3-2=0

The zeros of 8k^6+15k^3-2=0 are

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8 k^{6} + 15 k^{3} - 2 = 0

Solution steps

8 k^{6} + 15 k^{3} - 2 = 0

Rewrite the equation with

u = k^{3}

and

u^{2} = k^{6}

8 u^{2} + 15 u - 2 = 0

Solve

8 u^{2} + 15 u - 2 = 0 : u = \frac{1}{8}, u = - 2

u = \frac{1}{8}, u = - 2

Substitute back

u = k^{3},

solve for

k

Solve

k^{3} = \frac{1}{8} : k = \frac{1}{2}, k = - \frac{1}{4} + \frac{3}{4} i, k = - \frac{1}{4} - \frac{3}{4} i

Solve

The solutions are

(\frac{x - 1}{3})^{3} = (\frac{1}{5})^{6}

(x + 1)^{3} + (x + 2)^{3} + (x + 3)^{3} + (x + 4)^{3} = (x + 5)^{3}

x^{3} - 3 x - 1 = 0

4 x^{4} - 36 x^{2} = 0

x^{3} - 2 x^{2} - 9 x + 18 = 0

What are the solutions to the equation 8k^6+15k^3-2=0 ?
The solutions to the equation 8k^6+15k^3-2=0 are
Find the zeros of 8k^6+15k^3-2=0
The zeros of 8k^6+15k^3-2=0 are