Verified answer

6x^2+x-2=0,

D=49,

x_1=-2/3,

x_2=-1/2,

6x^2+x-2=6(x+2/3)(x+1/2)=(3x+2)(2x+1),

13x+4=a(3x+2)+b(2x+1)=3ax+2a+2bx+b=(3a+2b)x+(2a+b),

{3a+2b=13,

{2a+b=4,

{3a+2b=13,

{-4a-2b=-8,

-a=5,

a=-5,

-10+b=4,

b=14,

(13x+4)/(6x^2+x-2)=(-5(3x+2)+14(2x+1))/((3x+2)(2x+1))=-5(3x+2)/((3x+2)(2x+1))+14(2x+1)/((3x+2)(2x+1))=-5/(2x+1)+14/(3x+2)