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

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

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t^{-2}=9

t^{- 2} = 9

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

Decimal Notation

t = 0.33333 \dots, t = - 0.33333 \dots

Solution steps

t^{- 2} = 9

Refine

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

Multiply both sides by

t^{2}

1 = 9 t^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

t = 0

Combine undefined points with solutions:

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

0 = \frac{4}{9 x}

\frac{x ^{2} - 3}{x - 2} = 0

\frac{x + 2}{x - 4} = 5

y, x = \frac{1}{y + 5}

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