What is the answer to 1/x+1/(x+10)= 1/15 ?

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

Solve for x: 1/x+1/(x+10)= 1/15

The solution is x=5(2+sqrt(10)),x=5(2-sqrt(10))

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\frac{1}{x} + \frac{1}{x + 10} = \frac{1}{15}

x = 5 (2 + 10), x = 5 (2 - 10)

Decimal Notation

x = 25.81138 \dots, x = - 5.81138 \dots

Solution steps

\frac{1}{x} + \frac{1}{x + 10} = \frac{1}{15}

Multiply by LCM

15 (x + 10) + 15 x = x (x + 10)

Solve

15 (x + 10) + 15 x = x (x + 10) : x = 5 (2 + 10), x = 5 (2 - 10)

x = 5 (2 + 10), x = 5 (2 - 10)

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 10

Combine undefined points with solutions:

x = 5 (2 + 10), x = 5 (2 - 10)

- \frac{2}{u} = - \frac{24}{25}

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

R, \frac{1}{R} = \frac{1}{r} + \frac{1}{s}

x^{- 1} + x = 3 x^{- 1}

\frac{4}{2 y - 3} = \frac{7}{3 y - 5}

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