What is the answer to 1/(x-3)+1/(x+1)= 6/5 ?

The answer to 1/(x-3)+1/(x+1)= 6/5 is x=4,x=-1/3

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1/(x-3)+1/(x+1)= 6/5

\frac{1}{x - 3} + \frac{1}{x + 1} = \frac{6}{5}

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

Decimal Notation

x = 4, x = - 0.33333 \dots

Solution steps

\frac{1}{x - 3} + \frac{1}{x + 1} = \frac{6}{5}

Multiply by LCM

5 (x + 1) + 5 (x - 3) = 6 (x - 3) (x + 1)

Solve

5 (x + 1) + 5 (x - 3) = 6 (x - 3) (x + 1) : x = 4, x = - \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 3, x = - 1

Combine undefined points with solutions:

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

\frac{40}{d - 30} = \frac{50}{d - 20}

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

2.4 = 1 + \frac{0.08 \cdot g}{1.1 - g}

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

\frac{y}{3} = \frac{y + 8}{y + 5}

What is the answer to 1/(x-3)+1/(x+1)= 6/5 ?
The answer to 1/(x-3)+1/(x+1)= 6/5 is x=4,x=-1/3
Solve for x: 1/(x-3)+1/(x+1)= 6/5
The solution is x=4,x=-1/3