What is the answer to 1/(x-2)+1/(x+2)= 3/8 ?

The answer to 1/(x-2)+1/(x+2)= 3/8 is x=6,x=-2/3

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1/(x-2)+1/(x+2)= 3/8

\frac{1}{x - 2} + \frac{1}{x + 2} = \frac{3}{8}

x = 6, x = - \frac{2}{3}

Decimal Notation

x = 6, x = - 0.66666 \dots

Solution steps

\frac{1}{x - 2} + \frac{1}{x + 2} = \frac{3}{8}

Multiply by LCM

8 (x + 2) + 8 (x - 2) = 3 (x - 2) (x + 2)

Solve

8 (x + 2) + 8 (x - 2) = 3 (x - 2) (x + 2) : x = 6, x = - \frac{2}{3}

x = 6, x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = 6, x = - \frac{2}{3}

7 + \frac{x}{x + 6} = \frac{2}{x + 6}

\frac{s}{s + 2} + s = \frac{5 s + 8}{s + 2}

\frac{2.3}{x} = \frac{4}{5}

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

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

What is the answer to 1/(x-2)+1/(x+2)= 3/8 ?
The answer to 1/(x-2)+1/(x+2)= 3/8 is x=6,x=-2/3
Solve for x: 1/(x-2)+1/(x+2)= 3/8
The solution is x=6,x=-2/3