SOLUTION: x-3 over x-2 + x+1 over x+3 equals 2x squared +x+1 over x squared +x-6 for some reason my solution is x= -5 and in the andswer section of my book the solution is

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x-3 over x-2 + x+1 over x+3 equals 2x squared +x+1 over x squared +x-6 for some reason my solution is x= -5 and in the andswer section of my book the solution is       Log On


   



Question 14329: x-3 over x-2 + x+1 over x+3 equals 2x squared +x+1 over x squared +x-6
for some reason my solution is x= -5 and in the andswer section of my book the solution is x= 6. am I right or wrong?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Add the fractions on the left side.
On the left side, multiply the factors in the numerator and multiply the factors in the denominator.
Simplify.
2x%5E2-x-11+=+2x%5E2%2Bx%2B1 Subtract 2x%5E2 from both sides.
-x-11+=+x%2B1 Add x to both sides.
-11+=+2x%2B1 Subtract 1 from both sides.
-12+=+2x Divide both sides by 2.
-6+=+x
So, x = -6
Check:

%28-9%2F-8%29%2B%28-5%2F-3%29+=+%2872-6%2B1%29%2F%2836-6-6%29
%2827%2B40%29%2F24+=+67%2F24
67%2F24+=+67%2F24
x = -6 is correct, not x = 6 as you say your book shows.