Question

if alpha and beta are the roots of the equation (x-a)(x-b)+c=0then find the root of equations (x-alpha)(x-beta)=c​

Answer 1

Answer:

(x−a)(x−b)=cx2−(a+b)x+(ab−c)=0soifαandβarerootssoα+β=a+bαβ=ab−csoeqn(x−α)(x−β)becomesx2−(α+β)x+αβ=0x2−(a+b)x+(ab−c)=0roots=2(a+b)(+−)(a+b)2−4(ab−c)