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}

\frac{x ^{2} + 1}{x ^{2}} = 3

\frac{17}{8 y} = \frac{41}{2}

x, \frac{6}{x} + \frac{12}{y} = 2

m, \frac{3}{4} = \frac{1}{n ^{2}} - \frac{1}{m ^{2}}

\frac{1}{a} + b + x = \frac{1}{a} + \frac{1}{b} + \frac{1}{x}