$(x+3)^2+24 =m^2$ $(m-x-3)(m+x+3) = 24$ $x = (-8,-4,-2,2)$

StarLex1, the question asks for all integer solutions. You missed the negative solutions. (Of course your method also yields those as well.)

Demetres wrote: Find all integer values of $x$ for which the value of the expression \[x^2+6x+33\]is a perfect square. Too easy for HSO Should be in HSM

StarLex1 you posted while I was solving LOL

wardtnt1234 wrote: Demetres wrote: Find all integer values of $x$ for which the value of the expression \[x^2+6x+33\]is a perfect square. Too easy for HSO Should be in HSM Yeah this is too easy. Knowledge of completing the square and finding roots fo quadratic is sufficient for finding the answer for this