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

The answer to 3/(x-1)+2/(x+1)=1 is x=(5+sqrt(33))/2 ,x=(5-sqrt(33))/2

Solve for x: 3/(x-1)+2/(x+1)=1

The solution is x=(5+sqrt(33))/2 ,x=(5-sqrt(33))/2

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

x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

Decimal Notation

x = 5.37228 \dots, x = - 0.37228 \dots

Solution steps

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

Multiply by LCM

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

Solve

3 (x + 1) + 2 (x - 1) = (x - 1) (x + 1) : x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = \frac{5 + 33}{2}, x = \frac{5 - 33}{2}

\frac{2}{5 x} - \frac{x}{10} = 1

\frac{4}{x + 3} - \frac{9}{x - 2} = 5

\frac{1}{x} = \frac{1}{9}

\frac{6}{z + 4} = 12

x, \frac{3 w + 2 y}{x} = 4

What is the answer to 3/(x-1)+2/(x+1)=1 ?
The answer to 3/(x-1)+2/(x+1)=1 is x=(5+sqrt(33))/2 ,x=(5-sqrt(33))/2
Solve for x: 3/(x-1)+2/(x+1)=1
The solution is x=(5+sqrt(33))/2 ,x=(5-sqrt(33))/2