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

The answer to a/(a-3)-a/(a-2)=5 is a=(13+sqrt(19))/5 ,a=(13-sqrt(19))/5

Solve for a: a/(a-3)-a/(a-2)=5

The solution is a=(13+sqrt(19))/5 ,a=(13-sqrt(19))/5

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\frac{a}{a - 3} - \frac{a}{a - 2} = 5

a = \frac{13 + 19}{5}, a = \frac{13 - 19}{5}

Decimal Notation

a = 3.47177 \dots, a = 1.72822 \dots

Solution steps

\frac{a}{a - 3} - \frac{a}{a - 2} = 5

Multiply by LCM

a (a - 2) - a (a - 3) = 5 (a - 3) (a - 2)

Solve

a (a - 2) - a (a - 3) = 5 (a - 3) (a - 2) : a = \frac{13 + 19}{5}, a = \frac{13 - 19}{5}

a = \frac{13 + 19}{5}, a = \frac{13 - 19}{5}

Verify Solutions

Find undefined (singularity) points:

a = 3, a = 2

Combine undefined points with solutions:

a = \frac{13 + 19}{5}, a = \frac{13 - 19}{5}

\frac{1}{y - 8} - 1 = \frac{7}{y - 8}

y, x = \frac{2 y - 1}{y + 3}

\frac{105}{35} = \frac{5}{n}

\frac{6 x}{x - 9} - 9 = \frac{3}{x - 9}

\frac{4}{k} = \frac{8}{2}

What is the answer to a/(a-3)-a/(a-2)=5 ?
The answer to a/(a-3)-a/(a-2)=5 is a=(13+sqrt(19))/5 ,a=(13-sqrt(19))/5
Solve for a: a/(a-3)-a/(a-2)=5
The solution is a=(13+sqrt(19))/5 ,a=(13-sqrt(19))/5