SOLUTION: The sum of an integer and twice its square root is 323. What is the integer?

Question 530223: The sum of an integer and twice its square root is 323. What is the integer?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Obviously the square root is also an integer.
Let the square root be
The number is

Completing the square,

The solutions to that equation are
so that and would be the number or
so that
but obviously that does not work, because by square root of x we usually understand the positive number that squared equals x.
So, while complies with
, I don't think
would be called the square root of .
We would reserve that name for
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