MathDB
Problems
Contests
National and Regional Contests
India Contests
India IOQM
2023-24 IOQM India
11
11
Part of
2023-24 IOQM India
Problems
(1)
IOQM 2023-24 P-11
Source:
9/3/2023
A positive integer
m
m
m
has the property that
m
2
m^2
m
2
is expressible in the form
4
n
2
−
5
n
+
16
4n^2-5n+16
4
n
2
−
5
n
+
16
where
n
n
n
is an integer (of any sign). Find the maximum value of
∣
m
−
n
∣
.
|m-n|.
∣
m
−
n
∣.
IOQM