What is the answer to x^{-2}= 1/4 ?

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

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x^{-2}= 1/4

x^{- 2} = \frac{1}{4}

x = 2, x = - 2

Solution steps

x^{- 2} = \frac{1}{4}

Refine

\frac{1}{x ^{2}} = \frac{1}{4}

Cross multiply

4 = x^{2}

Solve

4 = x^{2} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 2

\frac{3}{x + 1} = \frac{2}{x + 4}

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

\frac{1}{0.19} = \frac{12}{n}

\frac{4}{x - 1} = 2

\frac{3}{x - 2} = \frac{4}{x - 1}