Which
ratio is greater? [for x and y positive] (x2 +
y2)/(x + y) or (x2 -
y2)/(x- y)
Quelle
fraction est la plus grande? (x et y étant des nombres
positifs): (x2 + y2)/(x + y) ou
bien (x2 - y2)/(x- y)
Quale
frazione è maggiore? (x e y sono numeri positivi): (x2 +
y2)/(x + y) oppure (x2 -
y2)/(x- y)
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Solution
Given
A. (x2 - y2)/(x - y) = x + y =
(x + y)2/(x +y) =
= (x2 + y2 + 2xy)/( x + y)
B. (x2 + y2)/(x + y)
Then:
(x2 - y2)/(x - y) > (x2 +
y2)/(x + y)
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