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

The answer to 1/(x-2)-1/(x-1)=2 is x=(3+sqrt(3))/2 ,x=(3-sqrt(3))/2

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

The solution is x=(3+sqrt(3))/2 ,x=(3-sqrt(3))/2

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

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

Decimal Notation

x = 2.36602 \dots, x = 0.63397 \dots

Solution steps

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

Multiply by LCM

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

Solve

x - 1 - (x - 2) = 2 (x - 2) (x - 1) : x = \frac{3 + 3}{2}, x = \frac{3 - 3}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 1

Combine undefined points with solutions:

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

s, R = \frac{g s}{g + s}

\frac{9}{x + 1} = \frac{3}{7}

\frac{x + 35}{x + 50} = 0.75

\frac{12}{x} - 1 = 2

\frac{b ^{2} - 100}{b ^{2}} = 0

What is the answer to 1/(x-2)-1/(x-1)=2 ?
The answer to 1/(x-2)-1/(x-1)=2 is x=(3+sqrt(3))/2 ,x=(3-sqrt(3))/2
Solve for x: 1/(x-2)-1/(x-1)=2
The solution is x=(3+sqrt(3))/2 ,x=(3-sqrt(3))/2