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

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

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

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

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

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

Decimal Notation

x = 0.29289 \dots, x = 1.70710 \dots

Solution steps

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

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

\frac{20}{m} = 5

\frac{x - 3}{x + 7} = \frac{2}{5}

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

\frac{1}{x - 1} - \frac{3}{x - 4} = 0

\frac{- 7}{x + 4} = \frac{3}{x - 5}

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