SOLUTION: the sum 2/x+1 + 7/x+2 can be expressed in the form ax+b/(x+1)(x+2). what are the values for a and b?

Question 169958: the sum 2/x+1 + 7/x+2 can be expressed in the form ax+b/(x+1)(x+2). what are the values for a and b?
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
the sum 2/x+1 + 7/x+2 can be expressed in the form ax+b/(x+1)(x+2). what are the values for a and b?


There are two ways to do this:

First way, by substitution of x=0 and x=1.



Substitute x=0:







Multiply through by 2



Substitute  for :



Substitute x=1:







Multiply through by 6




So a=9 and b=11

---------------------

Second way:



Get LCD=(x+1)(x+2)









Compare that with



and obviously  and 

Edwin

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