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MAA AMC
AMC 12/AHSME
1966 AMC 12/AHSME
30
Value of a+c
Value of a+c
Source: 1966 AHSME #30
August 31, 2011
Vieta
AMC
Problem Statement
If three of the roots of
x
4
+
a
x
2
+
b
x
+
c
=
0
x^4+ax^2+bx+c=0
x
4
+
a
x
2
+
b
x
+
c
=
0
are
1
1
1
,
2
2
2
, and
3
3
3
, then the value of
a
+
c
a+c
a
+
c
is:
(A)
35
(B)
24
(C)
−
12
(D)
−
61
(E)
−
63
\text{(A)}\ 35 \qquad \text{(B)}\ 24\qquad \text{(C)}\ -12\qquad \text{(D)}\ -61 \qquad \text{(E)}\ -63
(A)
35
(B)
24
(C)
−
12
(D)
−
61
(E)
−
63
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