What is the answer to 1/(x-2)-1/(x-1)= 1/6 ?

The answer to 1/(x-2)-1/(x-1)= 1/6 is x=4,x=-1

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1/(x-2)-1/(x-1)= 1/6

\frac{1}{x - 2} - \frac{1}{x - 1} = \frac{1}{6}

x = 4, x = - 1

Solution steps

\frac{1}{x - 2} - \frac{1}{x - 1} = \frac{1}{6}

Multiply by LCM

6 (x - 1) - 6 (x - 2) = (x - 2) (x - 1)

Solve

6 (x - 1) - 6 (x - 2) = (x - 2) (x - 1) : x = 4, x = - 1

x = 4, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 1

Combine undefined points with solutions:

x = 4, x = - 1

\frac{5}{( x - 1 )} = 10

\frac{x + 1}{3 x - 2} = \frac{5 x - 4}{3 x + 2}

x + \frac{12}{x} = 8

y, x = \frac{6 y + 3}{y - 8}

4.7 = 12 \cdot (\frac{x}{x + 150})

What is the answer to 1/(x-2)-1/(x-1)= 1/6 ?
The answer to 1/(x-2)-1/(x-1)= 1/6 is x=4,x=-1
Solve for x: 1/(x-2)-1/(x-1)= 1/6
The solution is x=4,x=-1