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4
2013 PuMAC Algebra A4/B6
2013 PuMAC Algebra A4/B6
Source:
November 22, 2013
LaTeX
Problem Statement
Suppose
a
,
b
a,b
a
,
b
are nonzero integers such that two roots of
x
3
+
a
x
2
+
b
x
+
9
a
x^3+ax^2+bx+9a
x
3
+
a
x
2
+
b
x
+
9
a
coincide, and all three roots are integers. Find
∣
a
b
∣
|ab|
∣
ab
∣
.
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