SOLUTION: If x + y is equals to 4 find maximum or minimum possible value of x square + y square

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Question 1207563: If x + y is equals to 4 find maximum or minimum
possible value of x square + y square
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Let V = the value that we want to maximize or minimize

, where  or 







That is a parabola opening upward, so it has a minimum value but no maximum
value.

Use the vertex formula to find the x-coordinate of the minimum point:



Substituting in 



So the minimum value is 8, which occurs when x=2, and y = 4-x = 4-2 = 2.

Edwin
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