What is the answer to 1/(x^2)=9 ?

The answer to 1/(x^2)=9 is x= 1/3 ,x=-1/3

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1/(x^2)=9

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

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

Decimal Notation

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

Solution steps

\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}

4 x^{- 4} - 7 x^{- 2} - 36 = 0

\frac{2}{x + 2} + 2 = \frac{12}{x + 2}

3 + \frac{1}{x} = \frac{x}{7}

\frac{1}{2 x + 3} = (2 x + 3)^{- 1}

\frac{1}{x ^{2}} = 10