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16-05-2016
Mathematics

Answered

Given this equation, what is the largest possible value for z?

Given this equation, what is the largest possible value for z? class=

Verified Answer :

16-05-2016

Hello,
z=-2x²+15x-3y²+21y-6
=-2(x²-215/2x+(15/2)²) -3(y²-27/2y+(7/2)²)-6+2225/4+3*49/4
=-2(x-15/2)²-3(y-7/2)²+573/4

The max is for x-15/2=0 and y-7/2=0 thus 537/4

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