SOLUTION: Find the value of A and B if (2x)/(x^2+3x-4)=A/(x-1) + B/(x+4) REMEMBER: ANSWER MUST BE IN NUMBER FORM!

Algebra ->  Equations -> SOLUTION: Find the value of A and B if (2x)/(x^2+3x-4)=A/(x-1) + B/(x+4) REMEMBER: ANSWER MUST BE IN NUMBER FORM!      Log On


   

Question 1113597: Find the value of A and B if (2x)/(x^2+3x-4)=A/(x-1) + B/(x+4)
REMEMBER: ANSWER MUST BE IN NUMBER FORM!
Found 2 solutions by Alan3354, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
WE CAN READ.
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The CAPS are not NECESSARY.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


A%2F%28x-1%29%2BB%2F%28x%2B4%29+=+2x%2F%28x%5E2%2B3x-4%29+=+2x%2F%28%28x-1%29%28x%2B4%29%29

Multiply both sides by the LCM, (x-1)(x+4):

A%28x%2B4%29%2BB%28x-1%29+=+2x%29
%28A%2BB%29x+%2B+%284A-B%29+=+2x

Equate the coefficients of the terms on the two sides of the equation:

A%2BB=2; 4A-B=0

Solve the pair of equations.

(you can do the work...)

Answer: A=2/5; B=8/5