What are the solutions to the equation q^3= 1/8 ?

The solutions to the equation q^3= 1/8 are q= 1/2 ,q=-1/4+(sqrt(3))/4 i,q=-1/4-(sqrt(3))/4 i

Find the zeros of q^3= 1/8

The zeros of q^3= 1/8 are q= 1/2 ,q=-1/4+(sqrt(3))/4 i,q=-1/4-(sqrt(3))/4 i

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q^{3} = \frac{1}{8}

q = \frac{1}{2}, q = - \frac{1}{4} + \frac{3}{4} i, q = - \frac{1}{4} - \frac{3}{4} i

Solution steps

q^{3} = \frac{1}{8}

For

x^{3} = f (a)

the solutions are

Simplify

q = \frac{1}{2}, q = - \frac{1}{4} + \frac{3}{4} i, q = - \frac{1}{4} - \frac{3}{4} i

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

2 x^{3} - 6 x^{2} - 20 x = 0

x^{4} - 12 x^{2} + 36 = 0

12 x^{3} - 30 x^{2} - 24 x + 12 = 0

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

What are the solutions to the equation q^3= 1/8 ?
The solutions to the equation q^3= 1/8 are q= 1/2 ,q=-1/4+(sqrt(3))/4 i,q=-1/4-(sqrt(3))/4 i
Find the zeros of q^3= 1/8
The zeros of q^3= 1/8 are q= 1/2 ,q=-1/4+(sqrt(3))/4 i,q=-1/4-(sqrt(3))/4 i