AbdurRakib wrote:
If m and p are positive integers and \(m^2 + p^2 < 100\), what is the greatest possible value of mp ?
A.36
B.42
C.48
D.49
E.51
I learned one of these concepts from Bunnel
(\((M-P)^2>= 0\)
Therefore M^2 +P^2 >= 2MP . Greatest Value of 2MP = M^2+P^2 . Great Value of M^2+P^2 = 99 or 98
There MP = 99/2 = Integer (not possible - Integer X Integer = Integer)
or 98/2 =49
Please give Kudos if you like this explanation
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