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

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

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2/x =x+1

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

x = 1, x = - 2

Solution steps

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

Multiply both sides by

x

2 = x^{2} + x

Solve

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

x = 1, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 2

(x + \frac{1}{x})^{2} = 3

\frac{1}{5 m} = \frac{- 2}{3}

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

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

a^{- n} = \frac{1}{a ^{n}}