What is the answer to x^{-2}= 1/9 ?

The answer to x^{-2}= 1/9 is x=3,x=-3

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x^{-2}= 1/9

x^{- 2} = \frac{1}{9}

x = 3, x = - 3

Solution steps

x^{- 2} = \frac{1}{9}

Refine

\frac{1}{x ^{2}} = \frac{1}{9}

Cross multiply

9 = x^{2}

Solve

9 = x^{2} : x = 3, x = - 3

x = 3, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - 3

2 x = \frac{1}{x}

\frac{6}{x} = - \frac{3}{7}

\frac{1}{x} = - 3

x - \frac{6}{x} = - 5

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