What is the answer to x^{-1}=-1/2 ?

The answer to x^{-1}=-1/2 is x=-2

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x^{-1}=-1/2

x^{- 1} = - \frac{1}{2}

x = - 2

Solution steps

x^{- 1} = - \frac{1}{2}

Refine

\frac{1}{x} = - \frac{1}{2}

Cross multiply

2 = - x

Move

x

to the left side

2 + x = 0

Move

2

to the right side

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2

x^{- 1} = - \frac{1}{3}

\frac{56}{x} = \frac{8}{7}

\frac{10}{a - 6} = \frac{5}{6}

\frac{1}{2} = \frac{3 - 15}{- 2 - a}

r, F = G \frac{mn}{r ^{2}}