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1984 AMC 12 Question 16

AMC12 · 1984 AMC 12

Question 16

The function $f(x)$ satisfies $f(2+x)=f(2-x)$ for all real numbers $x.$ If the equation $f(x)=0$ has exactly four distinct real roots, then the sum of these roots is
  1. $0$
  2. $2$
  3. $4$
  4. $6$
  5. $8$