Anita A. answered • 01/28/20
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Community College Math Instr; TX Secondary Mathematics Certification
Hi Katie,
I suspect that there is a miscopy of the problem. Usually, it is the product that is to be minimized.
Just to make sure......
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Anita A.
Hi Katie, Assuming that the 2 positive numbers don't have to be rational numbers, this can be solved. We know that xy =192. Solving that for y, we get y = (192/x). Then the sum x + y can be represented by x + (192/x). Let f(x) = x + (192/x) = x + 192x^(-1) f'(x) = 1 - 192x^(-2) Set f'(x) = 0 0 = 1 - 192x^(-2) or 192x^(-2) = 1 (192/x^(-2)) =1 192 = x^2. Since we are concerned with positive numbers, x = √(192) x = 8√(3) Then y = (192/x) = (192/x) The minimum sum then for x + y = 16√(3). Regards, Anita A.
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02/01/20
Katie S.
hi, nope I wrote the exact problem from the book.01/28/20