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5Â years, 1Â month ago
Find all tje integral points which satisfy x^2 + y^2<35.I can,t find the solution using Pick's formula.Please help.
5Â years, 1Â month ago
Basically the quadrant of a circle with radius (root 35) and centre at origin will encompass a square of side 25. So it encompasses 25 integral points at least. Now the remaining area of the quadrant is 2.4889 which will have 2 integral points. So each quadrant encompasses 27 integral points excluding the origin. Overall, 27*4 +1 gives 109 integral points.