If α and p are the roots of ax2+ bx2 c = 0 then the equation ax2 - bx(x - 1) + c(x -1)2 = 0 has roots

We have,ax2−bx(x−1)+c(x−1)2=0…… (i)⇒ ax1−x2+bx1−x+c=0Also ,α and β be the roots of ax2+bx+c=0∴ α=x1−x  and  β=x1−x ⇒ x=αα+1,x=ββ+1 Hence, αα+1 and ββ+1are the required roots.