1987 USAMO Problems/Problem 1
Revision as of 11:24, 20 December 2015 by Bassmaster (talk | contribs)
By expanding we get
From this the two
cancel and you get:
We can divide by
(nonzero).
We get:
We can now factor the equation into:
From here We get the discriminant:
We factor:
Now we relize
is a perfect square so
has to be one too.
cannot be within
mecouse that makes
less then
.
.....