What is the answer to (3x)^{-2}=9 ?

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

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(3x)^{-2}=9

(3 x)^{- 2} = 9

x = \frac{1}{9}, x = - \frac{1}{9}

Decimal Notation

x = 0.11111 \dots, x = - 0.11111 \dots

Solution steps

(3 x)^{- 2} = 9

Refine

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

Multiply both sides by

x^{2}

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

Solve

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

x = \frac{1}{9}, x = - \frac{1}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{9}, x = - \frac{1}{9}

\frac{14}{y} = \frac{7}{2}

\frac{- 1}{5} = \frac{3}{2 d}

\frac{50}{t} = - 5

6 = - \frac{2}{x}

x, f = \frac{x}{x - 0.55 x}