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# If xy + z = z, is |x - y| > 0?

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Re: If xy + z = z, is |x - y| > 0? [#permalink]  07 Feb 2014, 19:08
If xy + z = z, is |x - y| > 0? or given xy = 0 (either x or y or both 0), is |x-y|> 0? Squaring, is x^2 + y^2 -2xy > 0 ?

(1) x # 0 (Not equal to): x^2 is +ve. y = 0. So, x^2 + y^2 -2xy > 0
(2) y = 0: if x = 0, NO. If x = 1, x^2 + y^2 -2xy > 0. YES.

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Re: If xy + z = z, is |x - y| > 0? [#permalink]  24 Sep 2015, 04:04
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Re: If xy + z = z, is |x - y| > 0?   [#permalink] 24 Sep 2015, 04:04

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