# SOLUTION: Find two positive numbers whose product is 256 and whose sum is a minimum. List them in non-decreasing order.

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 Click here to see ALL problems on Quadratic Equations Question 659966: Find two positive numbers whose product is 256 and whose sum is a minimum. List them in non-decreasing order. Answer by htmentor(855)   (Show Source): You can put this solution on YOUR website!Find two positive numbers whose product is 256 and whose sum is a minimum. List them in non-decreasing order. ================================ Let x,y be the two integers xy = 256 -> y = 256/x The sum, S = x + y = x + 256/x For S to be a minimum, dS/dx = 0: 0 = 1 - 256/x^2 x^2 - 256 = 0 (x+16)(x-16) = 0 Since the integers need to be positive, we have the solution x=16 If x=16, then y=16 Ans: 16 and 16