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# lattice

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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 $$y=-x^2+\frac{35}{4}$$?

Aug 29, 2018

#1
+98125
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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

Aug 29, 2018
#2
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Thank you! Correct!

mathtoo  Aug 29, 2018