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

The answer to 1/(x+1)=x+2 is x=(-3+sqrt(5))/2 ,x=(-3-sqrt(5))/2

Solve for x: 1/(x+1)=x+2

The solution is x=(-3+sqrt(5))/2 ,x=(-3-sqrt(5))/2

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

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

Decimal Notation

x = - 0.38196 \dots, x = - 2.61803 \dots

Solution steps

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

Multiply both sides by

x + 1

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

Solve

1 = x (x + 1) + 2 (x + 1) : x = \frac{- 3 + 5}{2}, x = \frac{- 3 - 5}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

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

\frac{x}{10} = \frac{2}{5 x}

\frac{1}{4} = \frac{7}{a}

\frac{x + 6}{x} = \frac{10}{7}

\frac{x + 2}{6} - \frac{4 - x}{x} = 1

4 = \frac{2}{x}

What is the answer to 1/(x+1)=x+2 ?
The answer to 1/(x+1)=x+2 is x=(-3+sqrt(5))/2 ,x=(-3-sqrt(5))/2
Solve for x: 1/(x+1)=x+2
The solution is x=(-3+sqrt(5))/2 ,x=(-3-sqrt(5))/2