What is the answer to x^{-2}=16 ?

The answer to x^{-2}=16 is x= 1/4 ,x=-1/4

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x^{-2}=16

x^{- 2} = 16

x = \frac{1}{4}, x = - \frac{1}{4}

Solution steps

x^{- 2} = 16

Refine

\frac{1}{x ^{2}} = 16

Multiply both sides by

x^{2}

1 = 16 x^{2}

Solve

1 = 16 x^{2} : x = \frac{1}{4}, x = - \frac{1}{4}

x = \frac{1}{4}, x = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}, x = - \frac{1}{4}

\frac{1}{x} = \frac{1}{4}

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

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

\frac{12}{x} = \frac{2}{18}

\frac{3}{x + 1} = \frac{1}{2}