SOLUTION: I want to find the value of a, b, and c so that i can decompose it into partial functions (8x-3)/(2x^2-x) thanks!!!

Question 277164: I want to find the value of a, b, and c so that i can decompose it into partial functions
(8x-3)/(2x^2-x)
thanks!!!

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
=
Write the given expression as a sum using A & B
= +
:
Simplify by multipling each side by the LCD, x(2x-1)
x(2x-1)* = x(2x-1)* + x(2x-1)*(
Results
8x - 3 = A(2x-1) + Bx
:
8x - 3 = A2x - A + Bx
:
8x - 3 = x(2A + B) - A
The coefficient on one side = the coefficient on the other side
2A + B = 8
the constant on one side = the constant on the other side
-A = -3
A = 3
Substitute 3 for A and find B
2(3) + B = 8
B = 8 - 6
B = 2
So we have
= +
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