What is the answer to 1/x+1/(x+1)= 9/20 ?

The answer to 1/x+1/(x+1)= 9/20 is x=4,x=-5/9

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1/x+1/(x+1)= 9/20

\frac{1}{x} + \frac{1}{x + 1} = \frac{9}{20}

x = 4, x = - \frac{5}{9}

Decimal Notation

x = 4, x = - 0.55555 \dots

Solution steps

\frac{1}{x} + \frac{1}{x + 1} = \frac{9}{20}

Multiply by LCM

20 (x + 1) + 20 x = 9 x (x + 1)

Solve

20 (x + 1) + 20 x = 9 x (x + 1) : x = 4, x = - \frac{5}{9}

x = 4, x = - \frac{5}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 1

Combine undefined points with solutions:

x = 4, x = - \frac{5}{9}

\frac{∣ x + π ∣}{x + π} = - 1

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

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

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

\frac{3}{x} - \frac{2}{x + 1} = \frac{4}{x}

What is the answer to 1/x+1/(x+1)= 9/20 ?
The answer to 1/x+1/(x+1)= 9/20 is x=4,x=-5/9
Solve for x: 1/x+1/(x+1)= 9/20
The solution is x=4,x=-5/9