Hidden Roots ........

Calculus Level 2

The function f(x)=x311x2+19x+13f(x)= x^{3}-11x^{2} +19x+13 has zeros a1,a2,a3.a_{1},a_{2},a_{3}. Then what is the value of [a1]+[a2]+[a3]?[ a_{1} ]+[ a_{2} ]+[ a_{3} ]?

Note: [m][m] Represents the greatest integer less than or equal to m.m.

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