Difference between revisions of "1987 OIM Problems/Problem 1"
(Created page with "== Problem == Find all <math>f(x)</math> such that: <cmath>\left[ f(x) \right]^2f\left( \frac{1-x}{1+x} \right)=64x</cmath> for <math>x \ne 0</math>, <math>x \ne 1</math>, <ma...") |
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<cmath>\left[ f(x) \right]^2f\left( \frac{1-x}{1+x} \right)=64x</cmath> | <cmath>\left[ f(x) \right]^2f\left( \frac{1-x}{1+x} \right)=64x</cmath> | ||
for <math>x \ne 0</math>, <math>x \ne 1</math>, <math>x \ne -1</math>, | for <math>x \ne 0</math>, <math>x \ne 1</math>, <math>x \ne -1</math>, | ||
| + | |||
| + | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
| + | |||
| + | == See also == | ||
| + | https://www.oma.org.ar/enunciados/ibe2.htm | ||
Latest revision as of 13:26, 13 December 2023
Problem
Find all 
such that:
![\[\left[ f(x) \right]^2f\left( \frac{1-x}{1+x} \right)=64x\]](http://latex.artofproblemsolving.com/0/c/7/0c7c2664c02b3db74a07274075a0eed0992d5513.png)
for 
, 
, 
,
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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