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February 28, 2015

# Homework Help: Math (algebra)

Posted by Mark on Monday, July 15, 2013 at 1:08pm.

Let x and y be real numbers satisfying 4x^2+5y^2=1. Over all such pairs, let the maximum and minimum values of 2x^2+3xy+2y^2 be M and N respectively. If M+N+MN=a/b, where a and b are coprime positive integers, what is the value of a+b?
• Math (algebra) - Steve, Monday, July 15, 2013 at 2:31pm

M = .789116
N = .110884
MN = .087500

M+N+MN = .987500 = 79/80

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