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There exist several positive integers $x$ such that $\frac{1}{x^2+x}$ is a terminating decimal. What is the smallest such integer?

 Jun 22, 2022

Best Answer 

 #2
avatar+124676 
+1

Actually.....x = 1

 

        1                   1

________   =   _____  =      .5

 1^2  +  1              2

 

 

cool cool cool

 Jun 23, 2022
 #1
avatar
0

x == 4

 

1/[4^2  +  4] ==1 / 20 ==0.05

 Jun 23, 2022
 #2
avatar+124676 
+1
Best Answer

Actually.....x = 1

 

        1                   1

________   =   _____  =      .5

 1^2  +  1              2

 

 

cool cool cool

CPhill Jun 23, 2022

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