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National and Regional Contests
Greece Contests
Greece JBMO TST
2000 Greece JBMO TST
3
3
Part of
2000 Greece JBMO TST
Problems
(1)
integer solutions of 2x^2+2ax+a-1=0, where a \in Z
Source: Greece JBMO TST 2000 p3
6/17/2019
Find
a
∈
Z
a\in Z
a
∈
Z
such that the equation
2
x
2
+
2
a
x
+
a
−
1
=
0
2x^2+2ax+a-1=0
2
x
2
+
2
a
x
+
a
−
1
=
0
has integer solutions, which should be found.
number theory
polynomial
Integer