Great job! Since your audience has such a wide range I understand how difficult it is to explain why x is not equal to zero. x^3-1=(x-1)(x^2+x+1)=0 means either x-1 =0 or x^2+x+1=0. Since it is “or” bot •and• the equation x^2+x+1=0 satisfy x^3=1 only when x is not equal to 1. As much as division of an equation by zero makes it undefined multiplication of an equation by zero makes it trivial thus not allowed. So multiplication by x-1 is only allowed when x is not equal to zero. Before such multiplication you can always show x=1 doesn’t satisfy x^2+x+1=0. However the resulting x^3=1 is still legit. One last method to explain is by considering x^2+x+1 as a geometric series with common ratio of x the first term 1 and 3 terms. The sum =(1-x^33)/(1-x) =0 where x is not equal to 1.
😢🎉 හරිම ලස්සනයි,
හරිම විශිෂ්ට කාර්යයක්...!
ගණිතයට ආසාවක් දෙන අජන්ත දිසානායක ගුරුතුමා❤ 👏👏🙏🏻
Great job!
Since your audience has such a wide range I understand how difficult it is to explain why x is not equal to zero.
x^3-1=(x-1)(x^2+x+1)=0 means either x-1 =0 or x^2+x+1=0. Since it is “or” bot •and• the equation x^2+x+1=0 satisfy x^3=1 only when x is not equal to 1.
As much as division of an equation by zero makes it undefined multiplication of an equation by zero makes it trivial thus not allowed. So multiplication by x-1 is only allowed when x is not equal to zero. Before such multiplication you can always show x=1 doesn’t satisfy x^2+x+1=0. However the resulting x^3=1 is still legit.
One last method to explain is by considering x^2+x+1 as a geometric series with common ratio of x the first term 1 and 3 terms. The sum =(1-x^33)/(1-x) =0 where x is not equal to 1.
6 , 4 නොතේරෙන පොඩි උනුත් ඇත්තෙන්ම maths වලට ආස කරවනවා❤
Sir ta ගොඩක් පින්🙏😊
Excellent idea
Thankyou Sir
Gammak sir❤
Haduwa sir 👍
el😂
Sirge wade harima lassanai digatama karagena yanna sir😊
Channel eke hodm videos set ekh.....
👏👏👏👏👏
Gammak thama
thama dala nane bn
🥲
gaana haduwada bn
@@DenethShamalkaofficial ow bng
Ganan walata pissu heduna, kana.welaweth me wage ewa balana mama wage eum innawanm me konata 😂
hari hari oyata ganan plwn ela mchn
නියම වැඩක් සර් සුපිරි
👍💞👍
Sir oita වැඩිය ගොඩක් අමාරු eva gennako. Meka maruvadak දිගටම කරන් යන් සර් ❤
❤️❤️
❤😎
❤💥 supiri
සුපිරි
Eka paarata dakka gaman hithuve kramaropitha ekak kiyala
සර් මම 8 වසරේ.8 වසරේ ළමයින්ට ගෲප් එකක් තියෙනවා ද
තත්පර 20කින් හැදුවා සර්
Oya al da
🔥👍
marisi epa bn.. sirta hadannath ita wada giya 😂😂
@@piushaariyarathna9223 නිකම් guess කලා විතරය් හැබැයි 😁
@@BellaSmelly hodai bn ubata jaya🔥
Ryōiki Tenkai: Fukuma misushi....
😂JJK fan kenek ne
@@shinshuki3771 yaaas
nice!!
Sir ane group ekata add wenna bane air😢
Ane sir nirmana ganan tika kiyla dennako o level walata
අම්මෝ ලස්සනට තේරුණා සර්😊🎉
Thanku sir❤
❤
💪💪💪💪
🔥
Prathipala balanna deyak neh meka pissuwak 🫴🏻✊
-X^2022 kiyl argenth hdnn puluwn ned
පුළුවන්
Mn AL karana kale Sir hitiya nm mn maths karanne. 😢
මේක සත්යාපනය වෙන්නෙ නෑ නෙ
❤