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

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

Solve for x: x=1+1/(x+1)

The solution is x=sqrt(2),x=-sqrt(2)

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Popular >

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

x = 2, x = - 2

Decimal Notation

x = 1.41421 \dots, x = - 1.41421 \dots

Solution steps

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

Multiply both sides by

x + 1

x (x + 1) = x + 2

Solve

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

x = 2, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 2, x = - 2

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

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

\frac{4}{7} = \frac{28}{x}

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

\frac{x}{4} - \frac{77}{4 x} = - 1

What is the answer to x=1+1/(x+1) ?
The answer to x=1+1/(x+1) is x=sqrt(2),x=-sqrt(2)
Solve for x: x=1+1/(x+1)
The solution is x=sqrt(2),x=-sqrt(2)