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

The answer to x+2= 1/(x+2) is x=-1,x=-3

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x+2= 1/(x+2)

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

x = - 1, x = - 3

Solution steps

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

Multiply both sides by

x + 2

x (x + 2) + 2 (x + 2) = 1

Solve

x (x + 2) + 2 (x + 2) = 1 : x = - 1, x = - 3

x = - 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 1, x = - 3

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

y, x = \frac{3 y - 5}{2 y + 7}

\frac{x + 3}{x + 3} = 1

\frac{3}{x} = 5 - \frac{2 + 3 x}{x - 3}

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