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

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

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

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

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

Decimal Notation

x = 2, x = 0.5

Solution steps

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

Multiply by LCM

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 1, x = 0

Combine undefined points with solutions:

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

\frac{1}{1 + x ^{2} + y ^{2}} = 0

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

x, \frac{3.7}{x + 3} = 10

\frac{2}{x} = 9

x, u = \frac{y}{k x}

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