Difference between revisions of "Mock AIME 5 Pre 2005 Problems/Problem 8"
(Created page with "Square both sides to give <math>x^2+2x\sqrt{y}+y=22+2\sqrt{96}</math>. Thus, we have the system of equations <math>x^2+y=22</math> <math>x^2y=96</math>. Thus, we have <math>y(...") |
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Latest revision as of 00:02, 15 February 2024
Square both sides to give
.
Thus, we have the system of equations
.
Thus, we have
,
,
.
Thus, we have
as
is an integer, and so
. Thus, we have
, so the answer is
.
~AbbyWong