What is the answer to 1/x+1/(x+1)= 7/12 ?

The answer to 1/x+1/(x+1)= 7/12 is x=3,x=-4/7

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1/x+1/(x+1)= 7/12

\frac{1}{x} + \frac{1}{x + 1} = \frac{7}{12}

x = 3, x = - \frac{4}{7}

Decimal Notation

x = 3, x = - 0.57142 \dots

Solution steps

\frac{1}{x} + \frac{1}{x + 1} = \frac{7}{12}

Multiply by LCM

12 (x + 1) + 12 x = 7 x (x + 1)

Solve

12 (x + 1) + 12 x = 7 x (x + 1) : x = 3, x = - \frac{4}{7}

x = 3, x = - \frac{4}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = 3, x = - \frac{4}{7}

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

- 9 + \frac{1}{x + 9} = - \frac{x}{x + 9}

\frac{1}{x - 1} + 7 = \frac{x}{x - 1}

x + \frac{5}{x} = - 6

\frac{1}{2 x} - \frac{4}{x} = \frac{5}{2}

What is the answer to 1/x+1/(x+1)= 7/12 ?
The answer to 1/x+1/(x+1)= 7/12 is x=3,x=-4/7
Solve for x: 1/x+1/(x+1)= 7/12
The solution is x=3,x=-4/7