What are the solutions to the equation x^3= 1/27 ?

The solutions to the equation x^3= 1/27 are x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i

Find the zeros of x^3= 1/27

The zeros of x^3= 1/27 are x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i

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x^{3} = \frac{1}{27}

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

Solution steps

x^{3} = \frac{1}{27}

For

x^{3} = f (a)

the solutions are

Simplify

x = \frac{1}{3}, x = - \frac{1}{6} + \frac{1}{2 3} i, x = - \frac{1}{6} - \frac{1}{2 3} i

x (x - 4) (x - 3) = 4 x

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

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

x^{4} - 9 x^{2} + 20 = 0

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

What are the solutions to the equation x^3= 1/27 ?
The solutions to the equation x^3= 1/27 are x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i
Find the zeros of x^3= 1/27
The zeros of x^3= 1/27 are x= 1/3 ,x=-1/6+1/(2sqrt(3))i,x=-1/6-1/(2sqrt(3))i