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

The answer to 1/(x-2)+2/(x-3)=5 is x=(14+sqrt(11))/5 ,x=(14-sqrt(11))/5

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

The solution is x=(14+sqrt(11))/5 ,x=(14-sqrt(11))/5

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

x = \frac{14 + 11}{5}, x = \frac{14 - 11}{5}

Decimal Notation

x = 3.46332 \dots, x = 2.13667 \dots

Solution steps

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

Multiply by LCM

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

Solve

x - 3 + 2 (x - 2) = 5 (x - 2) (x - 3) : x = \frac{14 + 11}{5}, x = \frac{14 - 11}{5}

x = \frac{14 + 11}{5}, x = \frac{14 - 11}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 3

Combine undefined points with solutions:

x = \frac{14 + 11}{5}, x = \frac{14 - 11}{5}

2.25 = \frac{x ^{2}}{0.723 - 2 x}

- \frac{18}{x ^{3}} = 0

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

\frac{n - 1}{2 n} = 0.49

0.345 = \frac{16}{x}

What is the answer to 1/(x-2)+2/(x-3)=5 ?
The answer to 1/(x-2)+2/(x-3)=5 is x=(14+sqrt(11))/5 ,x=(14-sqrt(11))/5
Solve for x: 1/(x-2)+2/(x-3)=5
The solution is x=(14+sqrt(11))/5 ,x=(14-sqrt(11))/5