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MAA AMC
AMC 12/AHSME
1982 AMC 12/AHSME
17
17
Part of
1982 AMC 12/AHSME
Problems
(1)
Solutions to the Equation
Source:
1/16/2006
How many real numbers
x
x
x
satisfy the equation
3
2
x
+
2
−
3
x
+
3
−
3
x
+
3
=
0
3^{2x+2}-3^{x+3}-3^{x}+3=0
3
2
x
+
2
−
3
x
+
3
−
3
x
+
3
=
0
?
(A)
0
(B)
1
(C)
2
(D)
3
(E)
4
\textbf {(A) } 0 \qquad \textbf {(B) } 1 \qquad \textbf {(C) } 2 \qquad \textbf {(D) } 3 \qquad \textbf {(E) } 4
(A)
0
(B)
1
(C)
2
(D)
3
(E)
4
quadratics