### Home > PC3 > Chapter 12 > Lesson 12.1.5 > Problem12-84

12-84.

Rewrite the following rational expression as a sum of two fractions with linear denominators by using partial fraction decomposition.

$\frac { - 14 x + 19 } { 4 x ^ { 2 } - 12 x + 5 }$

$\frac { - 14 x + 19 } { (2x-5)(2x-1)}$

$\frac { A } { 2x-5}+\frac { B } { 2x-1}$

$\frac { A(2x-1) } { (2x-5)(2x-1)}+\frac { B(2x-5) } { (2x-5)(2x-1)}$

$2Ax-A+2Bx-5B=-14x+19$

Solve:
$2A + 2B = −14\\-A - 5B = 19$