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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
avatar+100516 
+2

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

 Aug 29, 2018
 #2
avatar+814 
+2

Thank you! Correct!

mathtoo  Aug 29, 2018

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