What is the answer to 1/x+1/(x+2)= 1/3 ?

The answer to 1/x+1/(x+2)= 1/3 is x=2+sqrt(10),x=2-sqrt(10)

Solve for x: 1/x+1/(x+2)= 1/3

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

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

x = 2 + 10, x = 2 - 10

Decimal Notation

x = 5.16227 \dots, x = - 1.16227 \dots

Solution steps

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

Multiply by LCM

3 (x + 2) + 3 x = x (x + 2)

Solve

3 (x + 2) + 3 x = x (x + 2) : x = 2 + 10, x = 2 - 10

x = 2 + 10, x = 2 - 10

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = 2 + 10, x = 2 - 10

\frac{5 x - 3}{x} + \frac{x - 1}{5} = 2

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

v, c = \frac{q}{v}

\frac{3}{6 x} - \frac{9}{12} = \frac{11}{4 x}

\frac{13}{6 x} + \frac{5}{3 x ^{2}} = 1

What is the answer to 1/x+1/(x+2)= 1/3 ?
The answer to 1/x+1/(x+2)= 1/3 is x=2+sqrt(10),x=2-sqrt(10)
Solve for x: 1/x+1/(x+2)= 1/3
The solution is x=2+sqrt(10),x=2-sqrt(10)