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Germany| A Nice Math Olympiad exponential problem | solve for x.

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JJ ONLINE MATHS CLASS

JJ ONLINE MATHS CLASS

Күн бұрын

How to solve a Nice Math Olympiad exponential question involving algebra using the laws of indices and algebraic identity. #matholympiadproblem #exponentialequations #algebraic_identities

Пікірлер: 37
@RyanLewis-Johnson-wq6xs
@RyanLewis-Johnson-wq6xs Ай бұрын
(1+Sqrt[5]/2)^12=161+72Sqrt[5]
@chishimbawanchinga8886
@chishimbawanchinga8886 10 күн бұрын
It was ease to follow. Thanks for sharing
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel 9 күн бұрын
Glad it was helpful!
@Honeyshaf
@Honeyshaf Ай бұрын
Good
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
Thanks
@isobar5857
@isobar5857 Ай бұрын
Oh, my God ...the patience of a saint and an intellect to match. Wish some of it would rub off on me! Enjoy your videos so much dear lady, you are a breath of fresh air. You deserve so many more subscribers.
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
You are so kind. Thanks for your words of encouragement and love
@danielnwachukwu9407
@danielnwachukwu9407 26 күн бұрын
Great job
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel 26 күн бұрын
Thank you
@garryfrancois2320
@garryfrancois2320 17 күн бұрын
Good job my teacher.
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel 17 күн бұрын
Thanks
@johnstanley5692
@johnstanley5692 Ай бұрын
Alternative? use sequence for Z(n )= X^n + 1/X^n here Z(1)=5^(1/2). (Z(0)=2) Recursion Z(n+1)=Z(n)Z(1)-Z(n-1) (Also doubling formula Z(2n) = Z(n)^2). Here need to get Z(3) and then doubling formula [ Z(1), Z(2), Z(3) ]=[ 5^(1/2), 3, 2*5^(1/2)]. Now Z(6)=Z(3)^2-2 =18. Z(12)= Z(6)^2-2 =322. So we have, (X^12+ 1/X^12) = 322. => X^12= 161+72*5^(1/2)
@devonwilson5776
@devonwilson5776 Ай бұрын
Greetings. Thanks always for sharing and for pointing out the pitfalls that would have been encountered if one were to have resorted to employ the usage of Pascal's triangle. That was absolutely what came to mind when the expression was reduced to the 6th power. It was indeed a sweet little problem. Thanks again. Blessings.
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
You are welcome. Thanks so much for engaging.
@bhaskarbattodi7442
@bhaskarbattodi7442 Ай бұрын
Super mam
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
Thanks
@Honeyshaf
@Honeyshaf Ай бұрын
❤❤
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
❤️❤️
@FredJehomiah
@FredJehomiah 17 күн бұрын
If it's long, that's mathematics for you, there are no shortcuts...kudos🎉 you are an amazing math solver
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel 15 күн бұрын
Wow, thanks!
@LifnaCabi
@LifnaCabi Ай бұрын
Fantastico e muita alegria.❤❤. Traduzir para ingles.
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
Am glad you liked it
@marcgriselhubert3915
@marcgriselhubert3915 Ай бұрын
Much too long!! Be a = (1+sqrt(5))/2 a^3 = (1+3.sqrt(5) +15+5.sqrt(5))/8 = 2+sqrt(5) So a^6 = (2+sqrt(5))^2 = 4+4.sqrt(5)+5 = 9+4.sqrt(5) And so a^12 = (9+4.sqrt(5))^2 = 81+72.sqrt(5)+80 Finally a^12 = 161+72.sqrt(5). That's all!
@labzioui1
@labzioui1 Ай бұрын
This is a problem that many have discussed, it is a viral problem of this golden ratio. We want something new (Thank you) PS: I can provide you with the links to videos that covered this viral issue.
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
Thanks for engaging. This is a new channel with a new audience, many are yet to see this . I particularly, just came across it.
@syedmdabid7191
@syedmdabid7191 Ай бұрын
Valde Valde facilis! Hic 64 est. Responsi.
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
??
@Extratremendouszeus
@Extratremendouszeus Ай бұрын
That's my black fair lady😅😅😅
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
Thanks for always engaging
@Extratremendouszeus
@Extratremendouszeus Ай бұрын
@@JJONLINEMATHSCLASSchannel You are welcome dear
@ugurdinc7768
@ugurdinc7768 Ай бұрын
(3×)"=9×" ? Why 9x?
@mohamadfazli5575
@mohamadfazli5575 Ай бұрын
Your teaching method of aljabra is definitely confusing,,,
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
Wow!
@lawrencemoore2414
@lawrencemoore2414 15 күн бұрын
You confused yourself along the way. I wonder what that will do to your students. Besides, you have not shown that your final answer is correct.
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel 15 күн бұрын
If you didn't understand any part , ask questions. There is no confusion anywhere.
@chukschukwudi9877
@chukschukwudi9877 Ай бұрын
Great job
@JJONLINEMATHSCLASSchannel
@JJONLINEMATHSCLASSchannel Ай бұрын
❤️❤️
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