SOLUTION: Hello! I need help! What is the greatest value of quadratic trinomial {{{ 2*x^2+3*x*y-2*y^2 }}}

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Question 1051174: Hello! I need help! What is the greatest value of quadratic trinomial
+2%2Ax%5E2%2B3%2Ax%2Ay-2%2Ay%5E2+

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You can factor,
2x%5E2%2B3xy-2y%5E2=%282x-y%29%28x%2B2y%29
Just a quick analysis, if I make y=0, the function looks like 2x%5E3 so there is no maximum value. It is unbounded.