What is the answer to 1/(x-1)+2/(x+1)=5 ?

The answer to 1/(x-1)+2/(x+1)=5 is x=(3+sqrt(89))/(10),x=(3-sqrt(89))/(10)

Solve for x: 1/(x-1)+2/(x+1)=5

The solution is x=(3+sqrt(89))/(10),x=(3-sqrt(89))/(10)

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

x = \frac{3 + 89}{10}, x = \frac{3 - 89}{10}

Solution steps

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

Multiply by LCM

x + 1 + 2 (x - 1) = 5 (x - 1) (x + 1)

Solve

x + 1 + 2 (x - 1) = 5 (x - 1) (x + 1) : x = \frac{3 + 89}{10}, x = \frac{3 - 89}{10}

x = \frac{3 + 89}{10}, x = \frac{3 - 89}{10}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = \frac{3 + 89}{10}, x = \frac{3 - 89}{10}

1 + \frac{3}{x + 4} = \frac{8 x}{x + 4}

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

\frac{9 x}{x + 1} = 2 - \frac{9}{x + 1}

\frac{5}{8} = \frac{20}{x}

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

What is the answer to 1/(x-1)+2/(x+1)=5 ?
The answer to 1/(x-1)+2/(x+1)=5 is x=(3+sqrt(89))/(10),x=(3-sqrt(89))/(10)
Solve for x: 1/(x-1)+2/(x+1)=5
The solution is x=(3+sqrt(89))/(10),x=(3-sqrt(89))/(10)