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For how many real values of x is sqrt(63 - 3*sqrt(x)) an integer?

 Aug 15, 2021
 #1
avatar+58 
-4

The idea is just try to make  a square number inside the sqrt.

 

49 no good cuz 63-49 not divisible by 3, and the way to check for the rest that doesn't work or works is to see whether it's divisible by 3 or not.

36 works for x = 81

25 no good

16 no good

9 works for x = 324

4 no good

1 no good.

 

Real Values can only be x = 81 or x = 324, so answer is 2.

 Aug 16, 2021

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