Question

The non trival values of (a,b) such that the roots of the equation x^2+ax+b=0 are a and b​

Answer 1

Answer:

Roots of x

2

+ax+b=0 are a and b

Sim =a+b=−a

⇒ 2a+b=0.....(1)

Product =ab=b

⇒ ab−b=0

⇒ b(a−1)=0

⇒ either b=0 or a=1

at b=0,, a=0

at a=1, b=−2 (from (1))

⇒ Non trivial values of (a,b) is (1,−2