A TRICKY Olympiad question | How to solve (2 + √3)ˣ + (2 - √3)ˣ = 14

แชร์
ฝัง
  • เผยแพร่เมื่อ 21 ธ.ค. 2024

ความคิดเห็น • 6

  • @NonsoMaths
    @NonsoMaths  6 วันที่ผ่านมา +1

    Thanks for watching. If you enjoyed the video, please leave a like. If you enjoy such content, subscribe - I post videos as often as I can. If you have any comments/questions, let me know in the comments.

  • @nkechiregina5254
    @nkechiregina5254 6 วันที่ผ่านมา +1

    Interesting problem!

  • @akudoogbuefi2818
    @akudoogbuefi2818 6 วันที่ผ่านมา +1

    Thanks for this problem. It proved useful. My question is couldn't the final answer be further broken down, rather than using a calculator.

    • @NonsoMaths
      @NonsoMaths  6 วันที่ผ่านมา

      Of course it can be further broken down without a calculator. The same way that 2^x=8 can be solved without a calculator. But the question becomes, "Is that extra work really necessary?"
      Think about it in this manner, a simple adding machine would NOT be able to solve the original equation, but it most likely would be able to evaluate log(real number)/log(another real number). So why waste your time?
      Thanks a lot for watching and leaving a comment. I appreciate it.
      🙂

  • @maths01n
    @maths01n 5 วันที่ผ่านมา

    Great content my fellow Mathematician ❤

    • @NonsoMaths
      @NonsoMaths  4 วันที่ผ่านมา +1

      Thanks for your kind words.