Ukraine l Very Nice Olympiad Math Problem l Tricky Solution

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Пікірлер: 7
@nevkon
@nevkon 5 күн бұрын
Вообще крайне странное решение. Сказано что искомые значения являются положительными числами. Тогда можно решить например относительно искомого a: принимаем b равным любым положительным числом строго больше 6/7, тогда a=5*b/(7*b-6). Поскольку второго условия (уравнения) нет, то это и будет ответом ведь какое бы число b вы не взяли всегда будет a>0 удовлетворяющий условию. Частный случай - b=3, a=5*3/(7*3-6)=15/15=1 или b=1, a=5*1/(7*1-6)=5/1=5. Можно даже дробные значения брать и будет найдено решение. ps. Для тех кто не понял - если b=6/7 то a=5*(6/7)/(7*6/7-6)=5*(6/7)/0 ! Соответственно для a ограничением вниз будет являться значение 5/7.
@yuriyhorobey2609
@yuriyhorobey2609 5 күн бұрын
Why olways so complicated solution for primitive "problems"? 5 is prime number so _a_ can be either 1 or 5. 6 has three dividers 1, 2 and 3. Next is primitive strait forward and obvious.
@thierrygermain5182
@thierrygermain5182 5 күн бұрын
Bravo. A little laborious to get to (7a - 6) (7b - 5) = 30. Since we operate in Z, we must also try ( -1)(-30), (-2)(-15) ... but this does not give integers for a and b.
@yuriyhorobey2609
@yuriyhorobey2609 5 күн бұрын
We operate on Z+
@ajitandyokothakur7191
@ajitandyokothakur7191 5 күн бұрын
Although your No. 4 results are noninteger and therefore rejected, the actual results you obtained are wrong. Check carefully. Dr. Ajit Thakur (USA).
@thierrygermain5182
@thierrygermain5182 4 күн бұрын
Tell me more, I am interested, dear colleague Doctor as I myself am the author of many textbooks in Switzerland. Thank you in advance.
@Haideralilughmani
@Haideralilughmani 3 күн бұрын
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