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

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

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

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

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

x = 1 + 2, x = 1 - 2

Decimal Notation

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

Solution steps

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

Multiply by LCM

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

Solve

2 x = (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{12}{x} = \frac{24}{8}

\frac{5 x - 5}{3 x - 3} = 1

\frac{x ^{2} + x - 42}{x - 6} = x + 7

\frac{5}{x} = 10

\frac{2 x - 6}{x} = \frac{x - 4}{2}

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