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AMC 12/AHSME
1984 AMC 12/AHSME
16
f(2+x) = f(2-x)
f(2+x) = f(2-x)
Source:
October 24, 2005
function
Problem Statement
The function
f
(
x
)
f(x)
f
(
x
)
satisfies
f
(
2
+
x
)
=
f
(
2
ā
x
)
f(2+x) = f(2-x)
f
(
2
+
x
)
=
f
(
2
ā
x
)
for all real numbers
x
x
x
. If the equation
f
(
x
)
=
0
f(x) = 0
f
(
x
)
=
0
has exactly four distinct real roots, then the sum of these roots is A. 0 B. 2 C. 4 D. 6 E. 8
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