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Thanks-- I never learned how to do these. No one had the ability to teach it clearly -- like you can!
You're welcome! I'm glad I could help make it clear! 👍💯I appreciate you taking the time to watch! 🤩💯
x = (1+√5)/22x-1 = √ 54 x^2-4 x+1 = 5x^2 = x+1x^4 = x^2+2x+1x^4 = 3x+2x^5 = 3x^2 +2xx^5 = 5x+3x^5 = (5+5√5)/2+3x^5 = (11+5√5))2
25X^2=10X+4， Y=5X=1+Sqrt（5）， Y^2=2Y+4， Y^4=4Y^2+16Y+16=4（2Y+4）+16Y+16=24Y+32，Y^5=24Y^2+32Y=48Y+96+32Y=80Y+96=80+80Sqrt（5）+96=176+80Sqrt（5）， X^5=（Y/5）^5=（176+80Sqrt（5））/3125
I’ve never seen such a complicated binomial expansion! 13 minutes, wow. No sign of Pascal’s triangle either. 🥴 A nice starter question on an IB paper.
Thanks for your support and feedback 💯💕🥰✅
c est plus simple de faire dierctement les calculs le carre multiplue par le carre ca donne 56 plus 24racine de5 sur 625 apres on multiplie dirct pa 1 plus racine de 5 sur 5 et hop en 3 minutes
Thanks-- I never learned how to do these. No one had the ability to teach it clearly -- like you can!
You're welcome! I'm glad I could help make it clear! 👍💯I appreciate you taking the time to watch! 🤩💯
x = (1+√5)/2
2x-1 = √ 5
4 x^2-4 x+1 = 5
x^2 = x+1
x^4 = x^2+2x+1
x^4 = 3x+2
x^5 = 3x^2 +2x
x^5 = 5x+3
x^5 = (5+5√5)/2+3
x^5 = (11+5√5))2
25X^2=10X+4， Y=5X=1+Sqrt（5）， Y^2=2Y+4， Y^4=4Y^2+16Y+16=4（2Y+4）+16Y+16=24Y+32，Y^5=24Y^2+32Y=48Y+96+32Y=80Y+96=80+80Sqrt（5）+96=176+80Sqrt（5）， X^5=（Y/5）^5=（176+80Sqrt（5））/3125
I’ve never seen such a complicated binomial expansion! 13 minutes, wow. No sign of Pascal’s triangle either. 🥴 A nice starter question on an IB paper.
Thanks for your support and feedback 💯💕🥰✅
c est plus simple de faire dierctement les calculs le carre multiplue par le carre ca donne 56 plus 24racine de5 sur 625 apres on multiplie dirct pa 1 plus racine de 5 sur 5 et hop en 3 minutes