1. ## partial fraction decomposition

Determine the numerical values of the coefficients, A and B, where A B.

A=
B=

(x-6)(x+8)
how do you get the coefficients

2. Originally Posted by dat1611

Determine the numerical values of the coefficients, A and B, where A B.

A=
B=

(x-6)(x+8)
how do you get the coefficients
See Wikipedia Method of undetermined coefficients

3. Originally Posted by dat1611
how do you get the coefficients
For an explanation with worked examples, try here.

4. Originally Posted by dat1611

Determine the numerical values of the coefficients, A and B, where A B.

A=
B=

(x-6)(x+8)
how do you get the coefficients
$\frac{2x-138}{(x-6)(x+8)} = \frac{A}{x-6} + \frac{B}{x+8}$

after getting a common denominator, the numerators form the equation ...

$2x-138 = A(x+8) + B(x-6)$

let $x = 6$ ...

$A = -9$

let $x = -8$

$B = 11$

5. Determine the numerical values of the coefficients, A and B, where

how about when there are limits

6. Originally Posted by dat1611

Determine the numerical values of the coefficients, A and B, where

how about when there are limits
just do the decomposition and make the lesser coefficient B.