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

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

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1/4 =x^{-2}

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

x = 2, x = - 2

Solution steps

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

Refine

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

Cross multiply

x^{2} = 4

Solve

x^{2} = 4 : 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

x, y^{2} = 1 - \frac{2}{x}

\frac{6}{8} = \frac{21}{b}

\frac{x}{11} = \frac{4}{11 x}

\frac{7}{2 x} - \frac{1}{5 x} = 1

\frac{1}{x - 1} + \frac{2}{x + 1} = 5