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For how many integers n is n/(20 - n) the square of an integer?

 Nov 12, 2019

Best Answer 

 #1
avatar+22114 
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There are 19 possibilities     1- 19       higher than 19 results in a zero or negative denominator

  n needs to be 10 or more to have anything greater than a fraction (which cannot be a square of an integer)

 

10  works

16 works

18 works

 Nov 12, 2019
 #1
avatar+22114 
+2
Best Answer

There are 19 possibilities     1- 19       higher than 19 results in a zero or negative denominator

  n needs to be 10 or more to have anything greater than a fraction (which cannot be a square of an integer)

 

10  works

16 works

18 works

ElectricPavlov Nov 12, 2019

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