1988 OIM Problems/Problem 5
Problem
Consider expressions in the form: 
with 
, 
, and 
rational numbers and 
.
Prove that if 
, then there exist 
, 
, and 
as rational numbers such that:
![\[(x + yt + z^2)(u + vt + wt^2) = 1\]](http://latex.artofproblemsolving.com/c/7/2/c7243d4e1ddb2b3415825a692eedec348be5243f.png)
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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