Let f(x) = x 2 + ax + b If for all nonzero real x Let f(x) = x - Maths - Continuity and Differentiability

Question

Let f(x) = x 2 + ax + b If for all nonzero real x Let f(x) = x 2 +
ax + b If for all nonzero real x

f (x + 1 /x ) = f(x) + f (1 /x )

and the roots of f(x) = 0 are integers, what is the value of a^2 +
b^2?
​​​​​​​
ANS: 13

Mrigendra Kumar Singh · Accepted Answer

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Let f(x) = x 2 + ax + b. If for all nonzero real x Let f(x) = x 2 + ax + b. If for all nonzero real x f (x + 1 /x ) = f(x) + f (1 /x ) and the roots of f(x) = 0 are integers, what is the value of a^2 + b^2? ​​​​​​​ ANS: 13