What is the answer to 1/(x-1)+1/(x+1)= 4/3 ?

The answer to 1/(x-1)+1/(x+1)= 4/3 is x=2,x=-1/2

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1/(x-1)+1/(x+1)= 4/3

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

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

Decimal Notation

x = 2, x = - 0.5

Solution steps

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

Multiply by LCM

3 (x + 1) + 3 (x - 1) = 4 (x - 1) (x + 1)

Solve

3 (x + 1) + 3 (x - 1) = 4 (x - 1) (x + 1) : x = 2, x = - \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

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

0 = 1 - \frac{4}{x ^{2}}

\frac{x ^{2} - x - 2}{x - 3} = 0

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

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

\frac{2 x + 2}{x - 1} - \frac{6}{x} = 2

What is the answer to 1/(x-1)+1/(x+1)= 4/3 ?
The answer to 1/(x-1)+1/(x+1)= 4/3 is x=2,x=-1/2
Solve for x: 1/(x-1)+1/(x+1)= 4/3
The solution is x=2,x=-1/2