What is the answer to 1/x+1/(x+5)= 1/10 ?

The answer to 1/x+1/(x+5)= 1/10 is x=(15+5sqrt(17))/2 ,x=(15-5sqrt(17))/2

Solve for x: 1/x+1/(x+5)= 1/10

The solution is x=(15+5sqrt(17))/2 ,x=(15-5sqrt(17))/2

Popular >

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{10}

x = \frac{15 + 5 17}{2}, x = \frac{15 - 5 17}{2}

Decimal Notation

x = 17.80776 \dots, x = - 2.80776 \dots

Solution steps

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{10}

Multiply by LCM

10 (x + 5) + 10 x = x (x + 5)

Solve

10 (x + 5) + 10 x = x (x + 5) : x = \frac{15 + 5 17}{2}, x = \frac{15 - 5 17}{2}

x = \frac{15 + 5 17}{2}, x = \frac{15 - 5 17}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 5

Combine undefined points with solutions:

x = \frac{15 + 5 17}{2}, x = \frac{15 - 5 17}{2}

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

2 - \frac{15}{p} = - \frac{25}{p ^{2}}

\frac{1}{x - 1} - 3 = - \frac{7 x}{x - 1}

1 - \frac{8 x}{x - 6} = \frac{1}{x - 6}

\frac{x - 13}{x} = 5 - \frac{10 ( 5 x + 3 )}{x ^{2}}

What is the answer to 1/x+1/(x+5)= 1/10 ?
The answer to 1/x+1/(x+5)= 1/10 is x=(15+5sqrt(17))/2 ,x=(15-5sqrt(17))/2
Solve for x: 1/x+1/(x+5)= 1/10
The solution is x=(15+5sqrt(17))/2 ,x=(15-5sqrt(17))/2