MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
2
PRMO 2015. p2.
PRMO 2015. p2.
Source:
April 9, 2024
polynomial
quadratics
algebra
Problem Statement
2.
2.
2.
The equations
x
2
−
4
x
+
k
=
0
x^2-4x+k=0
x
2
−
4
x
+
k
=
0
and
x
2
+
k
x
−
4
=
0
,
x^2+kx-4=0,
x
2
+
k
x
−
4
=
0
,
where
k
k
k
is a real number, have exactly one common root. What is the value of
k
?
k ?
k
?
Back to Problems
View on AoPS