2000 AIME II Problems/Problem 2
Problem
A point whose coordinates are both integers is called a lattice point. How many lattice points lie on the hyperbola ?
Solution
Note that and have the same parities, so both must be even. We first give a factor of to both and . We have left. Since there are factors of , and since both and can be negative, this gives us lattice points.
See also
2000 AIME II (Problems • Answer Key • Resources) | ||
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Followed by Problem 3 | |
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