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How many points of the form (x,y), where both coordinates are positive integers, lie below the graph of the hyperbola xy=30?

 Feb 23, 2022
 #1
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Don't know the exact number but here's how to go about it

 

1 =  1,1    =  1 point

2 = 1,2   2,1  = 2 points

3 = 1,3,   3,1  = 2 points

4 =  1,4    4,1     2, 2  =    3 points

......

28 =  1,28  28,1   2,14   14,2   4,7   7,4  =  6 points

29 = 1,29    29,1    =   2 points

 

You need to fill in the rest from  5 to 27, inclusive

 

 

cool cool cool

 Feb 23, 2022

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