Difference between revisions of "1985 OIM Problems/Problem 4"
(Created page with "== Problem == If <math>x \ne 1</math>, <math>y \ne 1</math>, <math>x \ne y</math>, and: <cmath>\frac{yz-x^2}{1-x}=\frac{xz-y^2}{1-y}</cmath> Prove that both fractions are equ...") |
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Prove that both fractions are equal to <math>x+y+z</math>. | Prove that both fractions are equal to <math>x+y+z</math>. | ||
+ | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
+ | |||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
+ | |||
+ | == See also == | ||
+ | https://www.oma.org.ar/enunciados/ibe1.htm |
Revision as of 12:25, 13 December 2023
Problem
If , , , and: Prove that both fractions are equal to .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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