SOLUTION: I am trying to solve this problem but my answer is not the answer in the book. Can you help me figure it out? Here is the equation: x/(x-3) + 4/(x+5)=8x/((x-3)(x+5)) I have a

Question 988368: I am trying to solve this problem but my answer is not the answer in the book. Can you help me figure it out? Here is the equation:
x/(x-3) + 4/(x+5)=8x/((x-3)(x+5))
I have a solution set of{-4,3} but the answer key shows the answer as {4}

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Multiply each side by (x-3).
Multiply each side by (x+5).

Subtract 8x from each side.

From the domain of the original equation, we know xdoes not equal 3 or -5
(that would cause division by zero),so we are left with:
ANSWER: x=-4
You can check by putting the value in the original equation:
Negative 4 works, positive four does not,
so there is an error in your book.
.
CHECK:
For x=4:
.

False, so 4 is NOT a solution.
.
For x=-4:

True, -4 IS our solution.

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