MathDB
Sum of Real Roots

Source: 1991 National High School Mathematics League, Exam One, Problem 4

February 26, 2020
function

Problem Statement

Function f(x)f(x) satisfies that f(3+x)=f(3āˆ’x)f(3+x)=f(3-x). Also, equation f(x)=0f(x)=0 has six different real roots, then the sum of these roots is (A)18(B)12(C)9(D)0\text{(A)}18\qquad\text{(B)}12\qquad\text{(C)}9\qquad\text{(D)}0
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