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Let f(x) =x^2+ ax + b cos x, a being an...

Let `f(x) =x^2+ ax + b cos x`, a being an integer and b is a real number. Find the number of orderedpars `(a, b)` for which the equations `f(x)=0 and f(f(x)=0` have the same (non-empty) set ofreal roots.

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