Find x^2 + y^2, Given : (x^2)y + x(y^2) = 96 | Olympiad Math

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We first factor the expression and decompose the number 96, then list all possible combinations. Using logical analysis, we narrow down to the only answer.

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awesome!




















what hour is it?

SuperYoonHo
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Since x and y are both even, how about dividing xy(x+y) and 96 by 8 so that you now have an expression mn(m+n) =12 that is much easier to solve. The only solution for this is either (m, n) = (1, 3) or (3, 1). Work back to get your result.

konchady
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can someone explain to me : why is x less than y?

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