المپیاد ریاضی کشور ژاپن ; Japan Mathematics Olympiad

درود دوستان عزیزم در این ویدیو یک سوال که در المپیاد ریاضی کشور ژاپن مطرح شده است را برایتان حل کردم این سوال را به راحتی می‌توان با معلومات کلاس نهم و با استفاده از اتحادهای ریاضی حل کرد
#ریاضیات #المپیاد_ریاضی #ریاضی #فیزیک
Hello, my dear friends, in this video, I have solved a question that was asked in the Mathematical Olympiad of Japan. This question can be easily solved with the information of the ninth grade and by using mathematical associations
#math #matholympiad #mathematics

[@MrBahram1tiger]

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[@erfanmohagheghian707]

You are missing 2(out of 4) of the solutions. And that's because the +/- at the top do not necessarily coincide with the +/- at the bottom and you should keep them both and consider all the 4 cases. Here's the solution from Mathematica. I divided both sides by (a^2 * b^2) and set a/b = t and wrote the goal expression as (t+1)/(t-1)
eq = t^2 + 1/t^2 == 10;
sol = Solve[eq, {t}, Reals];
values = Table[(t + 1)/(t - 1) /. sol[[i]], {i, Length[sol]}];
N[values]
{0.517638, -0.517638, -1.93185, 1.93185}