A Nice Math Olympiad Algebra Problem | Can you solve this ?

In this captivating KZbin video, we delve into an intriguing math problem from the algebra Math Olympiad. Join us as we explore a challenging algebraic equation that will put your problem-solving skills to the test. Can you crack the code and find the solution? Tune in to find out!
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[@WhiteGandalfs]

What you do from 3:30 onwards, is a stipulation that all the roots are just distraction flares and the solution you go for shall consist only of integers. Which admittedly is not a wrong idea, since roots are generally irrational except the few cases were they are not. BUT: If you stipulate an integer solution ANYWAYS, you could have got on that road MUCH earlier, right from the beginning, by substitution. All that rewrite and squaring again was a complete waste.