Find two positive numbers, x and y, whose sum is 64 and the sum of whose squares is a minimum.

Find two positive numbers, x and y, whose sum is 64 and the sum of whose squares is a minimum.
 

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1 Answer

X= 32 , Y=32

X + Y = 64

and X­­­­2 + Y2 = 322+322 =1024+1024= 2048 is minimum.

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