What is the answer to x*x^{-3}= 27/64 ?

The answer to x*x^{-3}= 27/64 is x= 8/(3sqrt(3)),x=-8/(3sqrt(3))

Solve for x: x*x^{-3}= 27/64

The solution is x= 8/(3sqrt(3)),x=-8/(3sqrt(3))

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x \cdot x^{- 3} = \frac{27}{64}

x = \frac{8}{3 3}, x = - \frac{8}{3 3}

Decimal Notation

x = 1.53960 \dots, x = - 1.53960 \dots

Solution steps

x x^{- 3} = \frac{27}{64}

Refine

\frac{1}{x ^{2}} = \frac{27}{64}

Cross multiply

64 = x^{2} \cdot 27

Solve

64 = x^{2} \cdot 27 : x = \frac{8}{3 3}, x = - \frac{8}{3 3}

x = \frac{8}{3 3}, x = - \frac{8}{3 3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{8}{3 3}, x = - \frac{8}{3 3}

(x + 2) \cdot (\frac{100}{x - 15}) = 100

\frac{1}{x} + 1 - \frac{1}{x} - 1 = 1

\frac{- 3}{5 ( \frac{1}{3} x - 2 )} = \frac{2}{7} x

u, \frac{1}{f} = - \frac{1}{u} - \frac{1}{v}

\frac{( x + 1 )}{2} + \frac{2}{x} + 1 = \frac{( x + 1 )}{3} + \frac{3}{( x + 1 )} - \frac{5}{6}

What is the answer to x*x^{-3}= 27/64 ?
The answer to x*x^{-3}= 27/64 is x= 8/(3sqrt(3)),x=-8/(3sqrt(3))
Solve for x: x*x^{-3}= 27/64
The solution is x= 8/(3sqrt(3)),x=-8/(3sqrt(3))