What is the answer to x^{-2}= 1/25 ?

The answer to x^{-2}= 1/25 is x=5,x=-5

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x^{-2}= 1/25

x^{- 2} = \frac{1}{25}

x = 5, x = - 5

Solution steps

x^{- 2} = \frac{1}{25}

Refine

\frac{1}{x ^{2}} = \frac{1}{25}

Cross multiply

25 = x^{2}

Solve

25 = x^{2} : x = 5, x = - 5

x = 5, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - 5

4 = \frac{1}{x}

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

\frac{6}{7} = \frac{24}{n + 11}

\frac{x}{3} - \frac{9}{x} = 2

\frac{9}{x} + 2 = 20