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

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

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

The solution is x=-(-1+sqrt(17))/2 ,x=(1+sqrt(17))/2

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

x = - \frac{- 1 + 17}{2}, x = \frac{1 + 17}{2}

Decimal Notation

x = - 1.56155 \dots, x = 2.56155 \dots

Solution steps

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

Multiply by LCM

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

Solve

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

x = - \frac{- 1 + 17}{2}, x = \frac{1 + 17}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = - \frac{- 1 + 17}{2}, x = \frac{1 + 17}{2}

\frac{3}{x + 3} + 2 = \frac{13}{x + 3}

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

\frac{3}{8} = \frac{39}{b}

h, v = \frac{q h}{q + h}

\frac{5}{x} = \frac{6}{x - 10}

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