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

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

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

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

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

x = - 1 - 2, x = 2 - 1

Decimal Notation

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

Solution steps

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

Multiply by LCM

- x + 1 - 2 x^{2} = x (- x + 1)

Solve

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

x = - 1 - 2, x = 2 - 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = - 1 - 2, x = 2 - 1

\frac{2}{3} - \frac{1}{5} = \frac{7}{3 x}

\frac{3}{y} + 2 = \frac{7}{2 y}

\frac{60}{409.75} = \frac{- 150}{X}

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

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

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