A lattice point is a point whose coordinates are both integers. How many lattice points are on the boundary or inside the region bounded by \(y=|x|\) and \(y=-x^2+\frac{35}{4}\)?

mathtoo  Aug 29, 2018

If I didn't mis-count :


5 lattice points on the boundary


8 interior points on the y axis


And  using symmetry, we  have  2(8)  = 16 more interior points


So...the total  is  5 + 8  + 16  =    29 lattice points



See the graph here: https://www.desmos.com/calculator/fsvb23vcgb



cool cool cool

CPhill  Aug 29, 2018

Thank you! Correct!

mathtoo  Aug 29, 2018

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