What are the solutions to the equation x^6= 1/729 ?

The solutions to the equation x^6= 1/729 are

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x^6= 1/729

x^{6} = \frac{1}{729}

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

Solution steps

x^{6} = \frac{1}{729}

Rewrite the equation with

u = x^{2}

and

u^{3} = x^{6}

u^{3} = \frac{1}{729}

Solve

Substitute back

u = x^{2},

solve for

x

Solve

The solutions are

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

73 = 12 \cdot (1 + R)^{3}

- 2 x (x + 1) (x^{2} + 49) = 0

x, y^{2} = (x + 4)^{3}

(4 x^{4}) + 5 = (4 - 4)

x^{3} + 8 x^{2} + 19 x + 12 = 0

What are the solutions to the equation x^6= 1/729 ?
The solutions to the equation x^6= 1/729 are
Find the zeros of x^6= 1/729
The zeros of x^6= 1/729 are