France | A Nice Math Olympiad Problem

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Пікірлер: 14

  • @rcnayak_58
    @rcnayak_587 күн бұрын

    Here is another alternative way to solve it, maybe little easier. Let a = (29³ + 15³)/(29³ + 14³). Add -1 (minus 1) to both sides. So that (a - 1) = [(29³ + 15³)/(29³ + 14³)] - 1 = [(29³ + 15³) - (29³ + 14³)]/ (29³ + 14³) = (15³ - 14³)/(29³ + 14³) = [(15-14)(15² + (15)(14) + 14²)] / [(29+14)(29² - 29.14 + 14²)] = (15² + (15)(14) + 14²) / (43 (29² - 29.14 + 14²)) = (225 +210 +196)/(43. (841 - 406 +196)) = 631/(44.631) = 1/43. Therefore a = 1 + (1/43) = 44/43

  • @norbertduchting6217
    @norbertduchting621714 күн бұрын

    Factorize the sums of cubics in numerator and denominator. Then you get the solution almost immediately.

  • @norbertduchting6217
    @norbertduchting621714 күн бұрын

    Factorize the cubics in numerator and denominaor and you get the solution almost immediately (without substitutions)

  • @donsena2013
    @donsena201314 күн бұрын

    Beautifully systematic evaluation technique

  • @Mb-logic
    @Mb-logic14 күн бұрын

    Thanks for sharing ❤

  • @darioc1967
    @darioc196714 күн бұрын

    Good

  • @euthman
    @euthman14 күн бұрын

    Very nice. Thank you!

  • @Mal1234567
    @Mal123456715 күн бұрын

    Can you explain it again using interpretive dance?

  • @vladimirverkhoglazenko8960
    @vladimirverkhoglazenko89606 күн бұрын

    Я гораздо быстрее умножил всё в столбик))

  • @hasoturgo2418
    @hasoturgo241815 күн бұрын

    It is for me an appraciated fresh-up. Much better than Sudoko. Can you please problems with derivate and integral solve. Some lim. problema too. Thank you.

  • @is7728

    @is7728

    15 күн бұрын

    Nice I want them too

  • @omerkayhan464
    @omerkayhan46414 күн бұрын

    Would you do the easy way

  • @mohamedsalah5525
    @mohamedsalah552514 күн бұрын

    1.6