Knowing that a fourth-grade polynomial has up to four solutions in general is basic stuff. But coming up with "a multiple of 4" isn't impressive, it's nonsense, there no more solutions within the real numbers possible . Sketching the parabolas is the best and easiest way to solve the problem. Using it one may even discuss the situations when such a probem has only three, two, one or no solutions. Considerations, discussions and conclusions like that no "KI" will give us for a long time coming.
I am really getting annoyed by this excitement about chatGPT on the internet. Look: this emperor has no clothes.