4x²-3x-1=4(x-1)(x+1/4)=(x-1)(4x+1)
D=9+16=25
x1=(3-5)/8=-1/4
x2=(3+5)/8=1
(x+4)/(x-1)-(37x-12)/[(x-1)(4x+1)]=(4x²+x+16x+4-37x+12)/[(x-1)(4x+1)]=
=4x²-20x+16)/[(x-1)(4x+1)]=4(x²-5x+4)/[(x-1)(4x+1)]=
=4(x-1)(x-4)/[(x-1)(4x+1)]=4(x-4)/(4x+1)
x²-5x+4=0
x1+x2=5 U x1*x2=4⇒x1=1 U x2=4