let f(x) = x + ax + b . If for all non Zero real x, f (x + 1/x) = f (x

1.	let f(x) = x + ax + b . If for all non Zero real x, f (x + 1/x) = f (x) + f (1/x) and the roots of f(x)=0 are integers, what the value of a^2+b^2 ?????
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let f(x) = x + ax + b . If for all non Zero real x, f (x + 1/x) = f (x) + f (1/x) and the roots of f(x)=0 are integers, what the value of a^2+b^2 ?????

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let f(x) = x + ax + b . If for all non Zero real x, f (x + 1/x) = f (x) + f (1/x) and the roots of f(x)=0 are integers, what the value of a^2+b^2 ?????​

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let f(x) = x + ax + b . If for all non Zero real x, f (x + 1/x) = f (x) + f (1/x) and the roots of f(x)=0 are integers, what the value of a^2+b^2 ?????