What is the answer to x^{-2}=9 ?

The answer to x^{-2}=9 is x= 1/3 ,x=-1/3

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x^{-2}=9

x^{- 2} = 9

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

Decimal Notation

x = 0.33333 \dots, x = - 0.33333 \dots

Solution steps

x^{- 2} = 9

Refine

\frac{1}{x ^{2}} = 9

Multiply both sides by

x^{2}

1 = 9 x^{2}

Solve

1 = 9 x^{2} : x = \frac{1}{3}, x = - \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{5}{7 k + 4} = \frac{2}{2 k - 3}

\frac{1}{x - 1} + 4 = \frac{9}{x - 1}

\frac{x + 1}{x - 5} = \frac{5}{3}

\frac{5}{4 x - 6} = \frac{2}{x - 9}

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