1997 JBMO Problems/Problem 2: Difference between revisions

Revision as of 14:43, 17 September 2017

Problem

(Cyprus) Let $\frac{x^2+y^2}{x^2-y^2} + \frac{x^2-y^2}{x^2+y^2} = k$ . Compute the following expression in terms of $k$ : $E(x,y) = \frac{x^8 + y^8}{x^8-y^8} - \frac{ x^8-y^8}{x^8+y^8}.$

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	{{JBMO box\|year=1997\|num-b=1\|num-a=3}}		{{JBMO box\|year=1997\|num-b=1\|num-a=3}}

			[[Category:Intermediate Algebra Problems]]

1997 JBMO (Problems • Resources)
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1997 JBMO Problems/Problem 2: Difference between revisions

Revision as of 14:43, 17 September 2017

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