Find the maximum possible integral value of
\[\sqrt{25x^2-103x+2014}\]
Where x is an integer.
Assume:
I will post a solution to this with a neat generalized formula 16 hours after this post if no one else has.
You may use a calculator
You may use all and any means possible of solving this problem, whether be it wolfram alpha, Python coding, or Java. Although I encourage you to use only a pencil and a hand held calculator because that is how I did it.