What is the answer to x^{-1}=9 ?

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

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x^{-1}=9

x^{- 1} = 9

x = \frac{1}{9}

Decimal Notation

x = 0.11111 \dots

Solution steps

x^{- 1} = 9

Refine

\frac{1}{x} = 9

Multiply both sides by

x

1 = 9 x

Switch sides

9 x = 1

Divide both sides by

9

x = \frac{1}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{9}

\frac{2}{x - 5} + \frac{3}{x - 4} = 2

4 π x - \frac{2000}{x ^{2}} = 0

7 x^{- 2} - 33 x^{- 1} + 20 = 0

\frac{- 0.87 x}{x - 7} = 0.29

\frac{10}{7 y - 14} = - 4