+0  
 
0
41
2
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For how many real values of x is sqrt(120 - sqrt(x^2)) an integer?

 Apr 12, 2021
 #1
avatar+118625 
+1

sqrt (120  -  sqrt (x^2))

 

x               integer

20                10

39                  9

56                  8

71                  7

84                  6

95                  5

104                4

111                3

116                2

119                1

120                0

 

 

 

cool cool cool

 Apr 12, 2021
 #2
avatar
0

 

... sqrt(120 - sqrt(x^2)) ...    

 

I don't know if you noticed it or not, but the square root of x squared is just +x.  

 

So that could be rewritten as sqrt(120 + x) 

 Apr 12, 2021

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