SOLUTION: Find the value of A and B if (2x+1)/((x^2)+x)=A/(x) + B/(x+1) REMEMBER: ANSWER MUST BE IN NUMBER FORM!

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Question 1113598: Find the value of A and B if (2x+1)/((x^2)+x)=A/(x) + B/(x+1)
REMEMBER: ANSWER MUST BE IN NUMBER FORM!
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Easy way 

A%2Fx + B%2F%28x%2B1%29 = %28A%2A%28x%2B1%29+%2B+Bx%29%2F%28x%2A%28x%2B1%29%29 = %28%28A%2BB%29x+%2B+A%29%2F%28x%5E2%2Bx%29.


Since the right side is equal to  %282x%2B1%29%2F%28%28x%5E2%29%2Bx%29, according to the condition, it implies for the coefficients

B = 1  and  A+B = 2.


Hence, B = 1 and A = 1.


Answer.  A = 1  and  B = 1.