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National and Regional Contests
Canada Contests
Canada National Olympiad
1977 Canada National Olympiad
1
No naturals with 4m(m+1) = n(n+1) - [Canada MO 1977]
No naturals with 4m(m+1) = n(n+1) - [Canada MO 1977]
Source:
September 29, 2011
quadratics
Problem Statement
If
f
(
x
)
=
x
2
+
x
f(x) = x^2 + x
f
(
x
)
=
x
2
+
x
, prove that the equation
4
f
(
a
)
=
f
(
b
)
4f(a) = f(b)
4
f
(
a
)
=
f
(
b
)
has no solutions in positive integers
a
a
a
and
b
b
b
.
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