A awesome mathematics problem | Olympiad Question | can you solve this radical problem | x=?

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22 май 2024

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Комментарии : 7

@Usamakhan-cd4oo Месяц назад

Nic

@KhanJan-th2gd Месяц назад

Such great question sir, g thanks share such fantastic question

@Usamakhan-cd4oo Месяц назад

Mashallah

@user-fq6pe8jy3k Месяц назад

🥰🥰🥰🥰🥰🥰🥰

@woobjun2582 Месяц назад

Otherwise, letting 121 -x = y^2 inside of sqrt in the RHS (i.e., 11^2 -x = y^2), the given turns out to be a system of 2 quad. equations, (1) 11^2 -x^2 = y, (2) 11^2 -y^2 = x. Substracting, (1) -(2) yields y^2 -x^2 = y -x; (y^2 -x^2) -(y -x) = 0; (y -x)(y +x) -(y -x) = 0; (y -x)(y +x -1) =0. Thus, (3) y -x =0, i.e., y = x (4) y +x -1 =0, i.e., y = 1 -x Then, to replace (3) and (4) into (1) each, we have, from (3) and (1), 11^2 -x^2 = x; x^2 -x -121 =0 (5), and from (4) and (1) 11^2 -x^2 = 1 -x; x^2 +x -120 =0 (6). That is, to solve (5) and (6) is the same results as this lecture.