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

The answer to 3/(a+3)-1/(a-2)=5 is a=(-3+sqrt(429))/(10),a=(-3-sqrt(429))/(10)

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

The solution is a=(-3+sqrt(429))/(10),a=(-3-sqrt(429))/(10)

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

a = \frac{- 3 + 429}{10}, a = \frac{- 3 - 429}{10}

Decimal Notation

a = 1.77123 \dots, a = - 2.37123 \dots

Solution steps

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

Multiply by LCM

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

Solve

3 (a - 2) - (a + 3) = 5 (a + 3) (a - 2) : a = \frac{- 3 + 429}{10}, a = \frac{- 3 - 429}{10}

a = \frac{- 3 + 429}{10}, a = \frac{- 3 - 429}{10}

Verify Solutions

Find undefined (singularity) points:

a = - 3, a = 2

Combine undefined points with solutions:

a = \frac{- 3 + 429}{10}, a = \frac{- 3 - 429}{10}

7 x^{- 2} - 23 x^{- 1} + 6 = 0

\frac{4 x}{x + 2} = 7 - \frac{8}{x + 2}

\frac{x - 8}{x - 2} = \frac{- 5}{x}

7 + (\frac{1}{x} - 2) = 28

- \frac{2}{x} + \frac{3}{14 x} = 25

What is the answer to 3/(a+3)-1/(a-2)=5 ?
The answer to 3/(a+3)-1/(a-2)=5 is a=(-3+sqrt(429))/(10),a=(-3-sqrt(429))/(10)
Solve for a: 3/(a+3)-1/(a-2)=5
The solution is a=(-3+sqrt(429))/(10),a=(-3-sqrt(429))/(10)