What is the answer to x+1= 4/(x+1) ?

The answer to x+1= 4/(x+1) is x=1,x=-3

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x+1= 4/(x+1)

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

x = 1, x = - 3

Solution steps

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

Multiply both sides by

x + 1

x (x + 1) + x + 1 = 4

Solve

x (x + 1) + x + 1 = 4 : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 1, x = - 3

\frac{3}{x} - \frac{1}{2} = \frac{12}{x}

\frac{3}{x} - \frac{1}{3} = \frac{1}{6}

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

\frac{1}{x} = \frac{1}{5 x} - \frac{x - 1}{5 x}

- \frac{4}{x ^{2}} + \frac{1}{2} = 0