Find the Roots

Calculus Level pending

f ( x ) = x 3 + x 2 + 100 x + 5 cos x f(x) = x^3 +x^2 + 100x + 5\cos x , then the number of real roots of

1 / ( a f ( 1 ) ) + 1 / ( a f ( 2 ) ) + 1 / ( a f ( 3 ) ) = 0 1/(a-f(1)) + 1/(a-f(2)) + 1/(a-f(3)) =0


The answer is 2.

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