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

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

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

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

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

x = 1 + 2, x = 1 - 2

Decimal Notation

x = 2.41421 \dots, x = - 0.41421 \dots

Solution steps

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

Multiply by LCM

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

Solve

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

x = 1 + 2, x = 1 - 2

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 1 + 2, x = 1 - 2

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

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

y, x = \frac{1}{y - 1}

\frac{4 n - 2}{2 n} = 7

\frac{41}{3 b + b} = 6 b - 10.4

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