What is the answer to x^{-2}=36 ?

The answer to x^{-2}=36 is x= 1/6 ,x=-1/6

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x^{-2}=36

x^{- 2} = 36

x = \frac{1}{6}, x = - \frac{1}{6}

Solution steps

x^{- 2} = 36

Refine

\frac{1}{x ^{2}} = 36

Multiply both sides by

x^{2}

1 = 36 x^{2}

Solve

1 = 36 x^{2} : x = \frac{1}{6}, x = - \frac{1}{6}

x = \frac{1}{6}, x = - \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{6}, x = - \frac{1}{6}

x, y = \frac{3}{x} + 2

\frac{2}{X} = \frac{X}{32}

\frac{3}{x - 7} = \frac{4}{x - 5}

\frac{1}{x} = \frac{1}{5}

\frac{3}{4} = \frac{6}{r}