What is the answer to x^{-1}=4 ?

The answer to x^{-1}=4 is x= 1/4

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x^{-1}=4

x^{- 1} = 4

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

x^{- 1} = 4

Refine

\frac{1}{x} = 4

Multiply both sides by

x

1 = 4 x

Switch sides

4 x = 1

Divide both sides by

4

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}

x, u k = \frac{x + y}{x}

\frac{24}{x - 1} = 4

\frac{x - 1}{x - 5} = \frac{4}{x - 5}

\frac{8}{3} = \frac{12}{n}

\frac{1}{x + 3} = \frac{x + 10}{x - 2}