Solving a radical system of equation with non-real roots

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Solving a radical question.
This problem is quite interesting because we have to prove it cannot have a real root which is a pretty fun task to do .

Question
Sybermaths

Solution
Anmol The Maths Sailor

Of you wanna suggest me problem you can send to me on instagram

Also to all sarcasters I have modified the question the thumbnail the video all my original content only the question I have taken which is not at all copyrighted so no need to fill the comment with same questions on Sybermaths btw I have given a very very very different way to solve this problem ✌☮
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AnmolTheMathSailor