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 2 years ago
Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum. Please and thank youuu!
 2 years ago
Find two positive numbers whose sum is 100 and the sum of whose squares is a minimum. Please and thank youuu!

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jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1"two positive numbers whose sum is 100" > x+y = 100 x+y = 100 y = 100x  "the sum of whose squares is a minimum" z = x^2 + y^2 z = x^2 + (100x)^2 z = x^2 + 10000  200x + x^2 z = 2x^2  200x + 10000 So you'll then want to find the vertex of 2x^2  200x + 10000
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