Question

(a+2) x²+a+b x+ a×b
a² + (2+-1) a²+ (2×-1)
a²+ a-2​

Answer 1

Step-by-step explanation:

Sum of the roots ⇒a+b=−1                ...(1)

Product of the roots ⇒ab=1               ...(2)

We know that,

(a+b)2=a2+b2+2ab

⇒a2+b2=(a+b)2−2ab

Substituting (1) and (2) in the above equation, we get

⇒a2+b2=(−1)2−2(1)

∴a2+b2=−1