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

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

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x^{-1}=-1/4

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

x = - 4

Solution steps

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

Refine

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

Cross multiply

4 = - x

Move

x

to the left side

4 + x = 0

Move

4

to the right side

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 4

\frac{8}{5 a} = - 6

x, \frac{2 x - y}{x} = 2 - y

2 x - \frac{200}{x ^{2}} = 0

\frac{3}{2 x} + 7 = \frac{1}{5}

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