What is the answer to -1/x =x+2 ?

The answer to -1/x =x+2 is x=-1

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-1/x =x+2

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

x = - 1

Solution steps

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

Multiply both sides by

x

- 1 = x^{2} + 2 x

Solve

- 1 = x^{2} + 2 x : x = - 1

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

\frac{40}{x} = - 5

\frac{1}{x} - \frac{3}{4} = 2

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

\frac{- 9}{3 x} = \frac{- 2}{x - 8}

\frac{4}{4 b + 5} = \frac{2}{b - 5}