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2015 Greece Junior Math Olympiad
1
1
Part of
2015 Greece Junior Math Olympiad
Problems
(1)
Easy Quadric equation
Source: Archimedes Junior 2015
3/16/2020
Find all values of the real parameter
a
a
a
, so that the equation
x
2
+
(
a
−
2
)
x
−
(
a
−
1
)
(
2
a
−
3
)
=
0
x^2+(a-2)x-(a-1)(2a-3)=0
x
2
+
(
a
−
2
)
x
−
(
a
−
1
)
(
2
a
−
3
)
=
0
has two real roots, so that the one is the square of the other.
algebra