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

The answer to 1/(x+1)+2/(x-1)=1 is x=(3+sqrt(17))/2 ,x=(3-sqrt(17))/2

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

The solution is x=(3+sqrt(17))/2 ,x=(3-sqrt(17))/2

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

x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

Solution steps

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

Multiply by LCM

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

Solve

x - 1 + 2 (x + 1) = (x + 1) (x - 1) : x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = \frac{3 + 17}{2}, x = \frac{3 - 17}{2}

y, x = \frac{6 y + 3}{y - 8}

\frac{( a - 4 ) ( a + 4 )}{( a + 4 )} = 3

\frac{a + b}{x} = c

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

3 + \frac{1}{4 a} = 31

What is the answer to 1/(x+1)+2/(x-1)=1 ?
The answer to 1/(x+1)+2/(x-1)=1 is x=(3+sqrt(17))/2 ,x=(3-sqrt(17))/2
Solve for x: 1/(x+1)+2/(x-1)=1
The solution is x=(3+sqrt(17))/2 ,x=(3-sqrt(17))/2