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Vietnam Contests
Hanoi Open Mathematics Competition
2007 Hanoi Open Mathematics Competitions
15
HOMC(Vietnam)
HOMC(Vietnam)
Source:
January 25, 2016
algebra
Problem Statement
Let
p
=
a
b
c
‾
p = \overline{abc}
p
=
ab
c
be the 3-digit prime number. Prove that the equation
a
x
2
+
b
x
+
c
=
0
ax^2 + bx + c = 0
a
x
2
+
b
x
+
c
=
0
has no rational roots.
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