What is the answer to 2/x-x-1=0 ?

The answer to 2/x-x-1=0 is x=-2,x=1

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2/x-x-1=0

\frac{2}{x} - x - 1 = 0

x = - 2, x = 1

Solution steps

\frac{2}{x} - x - 1 = 0

Multiply both sides by

x

2 - x^{2} - x = 0

Solve

2 - x^{2} - x = 0 : x = - 2, x = 1

x = - 2, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2, x = 1

x + 10 = - \frac{9}{x}

12 y^{- 2} - 23 y^{- 1} = - 5

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

\frac{4}{5 x + 1} = \frac{9}{10 x + 1}

\frac{8}{x - 2} = \frac{3}{2 x + 1}