SOLUTION: X+2 over x+3 + 1 over x squared +2x-3=1

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Question 845664: X+2 over x+3 + 1 over x squared +2x-3=1
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

%28x%2B2%29%2F%28x%2B3%29+%2B+1%2F%28x%2B3%29%28x-1%29+=+1   |Multiplying thru by (x+3)(x-1) so as all denominators = 1

(x+2)(x-1) + 1 = (x+3)x-1)

 x^2 + x -2 + 1 = x^2 +2x - 3

            2 = x

CHECKING our answer***  x = 2

%28x%2B2%29%2F%28x%2B3%29+%2B+1%2F%28x%2B3%29%28x-1%29+=+1 

   4/5 + 1/5 = 1

Wish You the Best in your Studies.