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

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

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4=x^{-2}

4 = x^{- 2}

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

Solution steps

4 = x^{- 2}

Refine

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

Multiply both sides by

x^{2}

4 x^{2} = 1

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

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

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

\frac{8}{6} = \frac{4}{x - 7}

\frac{3 y - 1}{2 y + 4} = \frac{4}{5}

\frac{2 x}{1 + x ^{2}} = 0