Sum and Product of Roots

[@NormanWasHere452]

Thank you, can’t believe I’m about to do my exams at 18 and I haven’t been taught this.

[@सुदय-त8थ]

i m indian and 13 and learning this! The world is soo wild

[@Cato_Minor]

@@सुदय-त8थ weird flex but okay... p.s. what is the average iq in India....?

[@swaradapande]

Samee I am in class 9th in India and learning thiss....

[@ТарасГриненко-л2у]

better late then never )

[@aashsyed1277]

THIS OLD VIDEO HELPED ME A LOT

[@opolo704]

Thank you for also doing the derivation which is not taught a lot of the time. That direct method also makes a lot more sense

[@jasjeetsingh6220]

This is beautiful ❤

[@sagarharsora608]

I finished reading Godfather today 😂😂😂 and you just came before my eyes😂😂😂😂!!!!!!!

[@SankalpaSatyal]

Factorised form is so easy to work with

[@CantBeTamed53]

Thank you. I learnt a lot.

[@sagarharsora608]

Amazing❤️❤️❤️❤️❤️ I knew this but the way you thought is amazing!!!!!!

[@pravinraja5836]

I am an Indian I love your teaching

[@oximas]

i have a quetion ,how will knowing the sum and the product of the roots help me later in more advanced math or phisics just curious if its just their like just pure math or does it have an accuall use in physics or calculas maybe something of real value or maybe a use in like a more advanced math idk

[@part4963]

It will help you measure the size of your pizza

[@FreeWithinMe]

I found my way here because I was stuck on a Complex numbers (Ext 2 Math) question and it was asking about the sum and product of roots. The more you know the more you are able to apply it to "new" situations

[@Prince-ji4pc]

Well explained!!!

[@bobverhoeven4149]

You are a Good teacher hi from the netherlands

[@ibrahimshuceyb6069]

U are from netherland the dutch colonial power who colonised indonesia darkness to ur grandfathers if took part in that

[@rj23032]

@@ibrahimshuceyb6069 they came to india first and then flee to indonesia, europeans have lack of food so they went all over the world and tortured us asians!

[@isobar5857]

All well and good...but what's the utility of this ?

[@alisamitina1289]

How does the first factorization work? 😢😢

[@ericcoyotl]

Hey, I know you are a very busy man(now more than ever) but can you do a video about Difference of roots and deriving that equation?

[@rajvirmanku1216]

Legend

[@WellThereYouGo]

It's really simple algebra actually - Eddie Woo

[@K4MYBRO]

what if theres 3 or more roots???

[@SankalpaSatyal]

A quadratic can only have a maximum of 2 roots because ax^2+bx+c=0 is factorised as a * (x-r1) * (x-r2) = 0. You need higher degree polynomial for 3 roots. A cubic ax^3+bx^2+cx+d=0 factorized as a * (x-r1) * (x-r2) * (x-r3) = 0 has 3 roots and for it you have r1+r2+r3=-b/a, r1*r2 + r2*r3 + r1*r3 = c/a, r1*r2*r3 = -d/a

[@AB27182]

Hi and thanks a lot for your videos sir. but I have a question. why didn't you use the delta and finding X formula to find alpha and beta at first?

[@thomaspetkovic6814]

Phenomenal

[@givechanceplsyt9508]

Noice work

[@ibrahimshuceyb6069]

This video is 2013 when i was 9 years old

[@oximas]

omg you are the same age as me

[@PoshakPathak]

@@oximas count me in bois

[@oximas]

@@PoshakPathak okay😃😆

[@AlessandroZir]

❤️❤️❤️🤸

[@maradihanmandlu3261]

R u corean

[@aashsyed1277]

i actually prefer to solve quadratics using the quadratic formula

[@gradyswan7371]

I can finally go do my maths quiz

[@nayabshah88]

thanks very easy

[@NONAME-kj9mc]

Tysmmm!!

[@mithileshtandan521]

Thank u sir

[@aryanvats2948]

I'm can't understand the factorisation at first Edit:got it!thannks

[@emilymurray1223]

you are my god

[@amaze7841]

You probably won't see this and it's a very stupid question I know but, I'm assuming this works with real/imaginary numbers?

[@friedkeenan]

Yes. Nowhere in this was there an operation that was specifically for real numbers

[@tosky761]

🎉

[@sakshambajpai6780]

2024

[@gradyswan7371]

Thank u so much

[@aashsyed1277]

EDDIE REPLY THIS COMMENT

[@elias.n5616]

Lol

[@vssudarshan89]

Your second step of multiplying a to (x-alpha) (x-beta) is syntactically and mathematically wrong. You cannot simply do it without giving a mathematical justification. While the end result is the same, the correct method is to first convert ax^2+bx+c=0 to the form x^2+(b/a)x+(c/a)=0. Then equating to the roots.

[@imperialrecker7111]

He gave a justification after he added it

[@rj23032]

thank you, I thought I'd be an idiot to have asked that question. so I never asked, and you solved my confusion! cheers.

[@imperialrecker7111]

@@rj23032 np

[@FreeWithinMe]

I was thinking the same thing but I guess it makes sense as if you had something like (2x + 1)(x - 5) and you factored out the 2 you would get 2(x + 1/2)(x - 5) and the roots would be -1/2 and 5, while if it was it the other form one of the roots would be mixed up with the 2. I don't know if that makes sense or not...