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

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

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x+1/x =-2

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

x = - 1

Solution steps

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

Multiply both sides by

x

x^{2} + 1 = - 2 x

Solve

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

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

x, y = \frac{2 x + 7}{2 x - 1}

\frac{4}{v} = \frac{v - 6}{v - 4}

k (x) = \frac{- 2 x - 15}{x + 9}, k (- 6 w)

\frac{x + 5}{x} = \frac{4}{5}

\frac{2}{p} + \frac{3}{p + 1} = 5