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+0  
 
+1
102
1
avatar+109 

Find the minimum value of \(2x^2 + 2xy + y^2 - 2x + 2y + 4\)  over all real numbers \(x\) and \(y\)

 Apr 25, 2019
edited by FlyEaglesFly  Apr 25, 2019
edited by FlyEaglesFly  Apr 25, 2019
 #1
avatar+4296 
+3

The goal here...is to write the expression as a sum of squares plus a number.

 

Try this, and see what you get.

 

(x,y)=(2,-3)

 

Plug the values into the expression, and get -1?

 Apr 25, 2019

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