What is the answer to 5/(x-3)-2/(x-2)=11 ?

The answer to 5/(x-3)-2/(x-2)=11 is x=(29+sqrt(71))/(11),x=(29-sqrt(71))/(11)

Solve for x: 5/(x-3)-2/(x-2)=11

The solution is x=(29+sqrt(71))/(11),x=(29-sqrt(71))/(11)

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\frac{5}{x - 3} - \frac{2}{x - 2} = 11

x = \frac{29 + 71}{11}, x = \frac{29 - 71}{11}

Decimal Notation

x = 3.40237 \dots, x = 1.87035 \dots

Solution steps

\frac{5}{x - 3} - \frac{2}{x - 2} = 11

Multiply by LCM

5 (x - 2) - 2 (x - 3) = 11 (x - 3) (x - 2)

Solve

5 (x - 2) - 2 (x - 3) = 11 (x - 3) (x - 2) : x = \frac{29 + 71}{11}, x = \frac{29 - 71}{11}

x = \frac{29 + 71}{11}, x = \frac{29 - 71}{11}

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 2

Combine undefined points with solutions:

x = \frac{29 + 71}{11}, x = \frac{29 - 71}{11}

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

\frac{2 x - 7}{x} = \frac{x - 3}{4}

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

\frac{x !}{( x - 2 ) !} = 30

\frac{6}{x} = - \frac{2}{9}

What is the answer to 5/(x-3)-2/(x-2)=11 ?
The answer to 5/(x-3)-2/(x-2)=11 is x=(29+sqrt(71))/(11),x=(29-sqrt(71))/(11)
Solve for x: 5/(x-3)-2/(x-2)=11
The solution is x=(29+sqrt(71))/(11),x=(29-sqrt(71))/(11)