Let and be the roots of the equation x^2-a x-b x+a b-c=0 . What is the quadratic equation whose roots are a and b ?

Step-by-step solution

Given that and are roots of the equation array cl & x^2-a x-b x+a b-c=0 i.e & x^2-(a+b) x+a b-c=0 & + =a+b . =a b-c & a b= +c array The quadratic equation whose roots are a and b is aligned & x^2-(a+b) x+a b=0 & x^2-( + ) x+ +c=0 & x^2- x- x+ +c=0 aligned