What is the answer to 3/(x-2)+2/(x-1)=5 ?

The answer to 3/(x-2)+2/(x-1)=5 is x=(10+sqrt(15))/5 ,x=(10-sqrt(15))/5

Solve for x: 3/(x-2)+2/(x-1)=5

The solution is x=(10+sqrt(15))/5 ,x=(10-sqrt(15))/5

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

x = \frac{10 + 15}{5}, x = \frac{10 - 15}{5}

Decimal Notation

x = 2.77459 \dots, x = 1.22540 \dots

Solution steps

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

Multiply by LCM

3 (x - 1) + 2 (x - 2) = 5 (x - 2) (x - 1)

Solve

3 (x - 1) + 2 (x - 2) = 5 (x - 2) (x - 1) : x = \frac{10 + 15}{5}, x = \frac{10 - 15}{5}

x = \frac{10 + 15}{5}, x = \frac{10 - 15}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 1

Combine undefined points with solutions:

x = \frac{10 + 15}{5}, x = \frac{10 - 15}{5}

\frac{2}{5} = \frac{6}{q + 11}

\frac{2 x}{x - 2} = 0

R V = \frac{4 π ^{2} R ^{3}}{T ^{2}}

\frac{x}{x + 4} + \frac{x}{x + 1} = 1

\frac{x - 5}{4} = \frac{6}{x}

What is the answer to 3/(x-2)+2/(x-1)=5 ?
The answer to 3/(x-2)+2/(x-1)=5 is x=(10+sqrt(15))/5 ,x=(10-sqrt(15))/5
Solve for x: 3/(x-2)+2/(x-1)=5
The solution is x=(10+sqrt(15))/5 ,x=(10-sqrt(15))/5