What is the answer to x^{-2}=100 ?

The answer to x^{-2}=100 is x= 1/10 ,x=-1/10

Solve for x: x^{-2}=100

The solution is x= 1/10 ,x=-1/10

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x^{- 2} = 100

x = \frac{1}{10}, x = - \frac{1}{10}

Decimal Notation

x = 0.1, x = - 0.1

Solution steps

x^{- 2} = 100

Refine

\frac{1}{x ^{2}} = 100

Multiply both sides by

x^{2}

1 = 100 x^{2}

Solve

1 = 100 x^{2} : x = \frac{1}{10}, x = - \frac{1}{10}

x = \frac{1}{10}, x = - \frac{1}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{10}, x = - \frac{1}{10}

\frac{2}{0.21} = \frac{8}{n}

x, A = \frac{C D}{x}

a, z m = \frac{a + b}{a}

\frac{2 x + 1}{3 x - 6} = \frac{3}{2}

0.1 = \frac{2.8 x}{0.4 x ^{2} + 1.3}