The numbers of pairs (a, b) of real numbers, such that whenever is a root of the equation x^2+ax+b=0, ^2-2 is...

Question

The numbers of pairs (a, b) of real numbers, such that whenever is a root of the equation x^2+ax+b=0, ^2-2 is also a root of this equation, is :

Accepted Answer

(A)

JEE Main 2021 Mathematics question