
Clement T. answered 03/27/15
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N ♦ P = 2n^2-p/np
The diamond is merely a new operator introduced specifically for this problem.
The operator is defined in the problem such that all that is required is that you plug in the appropriate values where appropriate, and then solve.
-2 ♦ 5 = 2(-2)^2-[5/(-2)(5)]
-2 ♦ 5 = (2)(4)-[5/-10]
-2 ♦ 5 = 8+(1/2)=8.5