SOLUTION: For specific positive numbers m and n, the quadratics 16x^2+36x+56 and (mx+n)^2 differ only in their constant term. What is mn?

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Question 1074884: For specific positive numbers m and n, the quadratics 16x^2+36x+56 and (mx+n)^2 differ only in their constant term. What is mn?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28mx%2Bn%29%5E2=m%5E2x%5E2%2B2mnx%2Bn%5E2
So,
16x%5E2%2B36x%2B56=m%5E2x%5E2%2B2mnx%2Bn%5E2
Comparing terms,
2mnx=36x
2mn=36
mn=18