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Regional Mathematical Olympiad
1991 India Regional Mathematical Olympiad
6
6
Part of
1991 India Regional Mathematical Olympiad
Problems
(1)
Find all inetger s.t....
Source: India RMO 1991 Problem 6
10/15/2005
Find all integer values of
a
a
a
such that the quadratic expression
(
x
+
a
)
(
x
+
1991
)
+
1
(x+a)(x+1991) +1
(
x
+
a
)
(
x
+
1991
)
+
1
can be factored as a product
(
x
+
b
)
(
x
+
c
)
(x+b)(x+c)
(
x
+
b
)
(
x
+
c
)
where
b
,
c
b,c
b
,
c
are integers.
quadratics
algebra
quadratic formula