Japan | A Nice Algebra Problem

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[@lethilan1986]

Thank you 🥰

[@tehatte]

At 3:46’ when you had a^2+ab+b^2=13, change the left side to (a-b)^2+3ab. Since (a-b)^2=4 you’d have 3ab=9, or ab=3. Substitute the x terms back for a and b and take 3rd power both sides you’d have x^2-169=27 so x=+_14. Way quicker than the way presented here.

[@m4.l1k]

How can a rooted expression be negative? 'x=-14' does not fit the same

[@mathshunter]

For real solution, the number inside square root (or even root) can not be negative but the number inside cube root (or odd root) can be negative.