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

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

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

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

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

x = 1 + 2, x = 1 - 2

Decimal Notation

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

Solution steps

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

Multiply both sides by

x - 1

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

Solve

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

x = 1 + 2, x = 1 - 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 1 + 2, x = 1 - 2

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

a, r = \frac{ab}{a + b}

y, x = \frac{1}{y + 2}

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

\frac{a x + b}{c x + d} = 5

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