How to derive formulas of the roots of Quadratic Equations

The sum and product of Quadratic Equations:
What Is Quadratic Equation?
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where ‘a’ is called the leading coefficient and ‘c’ is called the absolute term of f (x). The values of x satisfying the quadratic equation are the roots of the quadratic equation (α, β).
The quadratic equation will always have two roots. The nature of roots may be either real or imaginary.

[@iqinitiative]

How to derive the sum and product th-cam.com/video/ZxRNZCPBWPY/w-d-xo.html

[@PromiseUkonne]

From the number 2....how did (a-b) = (a-b)² ?

[@davidolosunde5046]

​@@PromiseUkonne, he actually used that value to derive the formula. As u cant expand (a-b) without the square. And if theres no square , theres probably no other way to go about deriving it , do you get it

[@9tantan]

Thank you for the wonderful lesson video:)) Gon help in my exams tomorrow

[@iqinitiative]

You're most welcome. Best of luck 😊

[@halimacooks]

definitely a better teacher and deserves more likes as well not like these other youtubers who do the barest minimum

[@iqinitiative]

Grateful for that 🙏

[@YanNingL-hx6gu]

I like it man, u elucidate it very well

[@iqinitiative]

I'm glad you it was helpful

[@thatkdpgig]

Wow, Just Wow. Their is so much Valuable Knowledge in this channel. Can't wait for more.
Thnak you for this, and may Almighty give u the capacity to keep creating this kinda valuable content. 🎉

[@emmanuelmichael6269]

This literally made it much easier for me to understand. Thank you so much

[@iqinitiative]

You're welcome. I'm glad it was helpful.

[@bondpairsgonewrong]

my school needs to fire all their math teachers- i literally learn better on youtube

[@iqinitiative]

I used to feel the exact same way at some point 🙃

[@BrainyTraits]

😂😂😂

[@adamholanz472]

We will look into this

[@ruvimbodenhere8570]

😂😂😂😂

[@prettykenny109]

Fr😭

[@user-uh1gz9by7u]

Just tge first minute is very understanding , thanks a lot
May Jehovah bless you very well sit

[@iqinitiative]

Glad it was helpful!

[@user-wr2ky2ec7m]

Thank You do much bro, I've been trying to understand the reasons behind these formulas for 3 years now, anytime I try to memorize it, it won't be retained in my brain for more than a month

[@Mulenga-Tutoring]

I'm really appreciate to this video because has helped me to understand this topic. Am having a question on the same topic, which says: Find the alpha and beta using quadratic equation and also the roots of x²-19x+25=0.
Please in your help!!!

[@iqinitiative]

Kindly send the clear question to my email address
[e-mail]

[@user-dl3zw8hu2c]

Thank you sir for explaining in a simple way

[@iqinitiative]

You are most welcome

[@UrLocalTed]

Thank you so much for this video! I had such a good time understanding

[@iqinitiative]

You're so welcome!

[@MaybinKapiso]

You made me understand thank you sir you are the only person how be mentioning on my graduation speech

[@godfredokyere5977]

Really love how to teach..keep it up

[@iqinitiative]

Glad to hear that. Thanks

[@user-dy3uw9nb5w]

Thank you so much...I don't know how to express my gratitude

[@iqinitiative]

Don't mention it. I'm glad it was helpful 😊

[@user-sj3xz3dz7y]

Thank you very much.

[@iqinitiative]

You are welcome!

[@Hahaha...009]

I'm from india sir... It will help me a lot ... Thanks ❤

[@user-uh1gz9by7u]

Very well explained, thanks sir

[@iqinitiative]

You are welcome

[@abdullahlawal6416]

I didn't understand that number 2.
Where did that - 2alpha beta you wrote with blue pen came from?

[@Hahaha...009]

It comes from the (i) there is alpha² + beta² = ( alpha + beta )² -2alpha beta
So sir put above value in the place of alpha²+beta² in (ii) part
I hope you understood... 👍🏻
By the way I think you are foreigners to me I'm from India 🇮🇳

[@dianetengya8330]

Thank u sir it Gon to help me in the exam today

[@iqinitiative]

All the best. I'm glad it helped 😊

[@sapphire4915]

great video. do you have the answers (after you substitute in the number values from the quadratic equation)?

[@iqinitiative]

Yes we do

[@sapphire4915]

great! how do i access them?@@iqinitiative

[@briannasiali7413]

Thank You!

[@iqinitiative]

You're welcome 😊

[@naufalahmadi016]

Thank youuu sirrr,now i'm understand 😊😊😊

[@iqinitiative]

Most welcome 😊

[@areeshaghulam9891]

Nice lecture

[@iqinitiative]

Thanks and welcome

[@Excelonlinetutorial-qv8cz]

Fantabulous 💯

[@iqinitiative]

Thank you! Cheers!

[@MaryamAuwalIbrahim]

Thank u so much i know understand much better

[@iqinitiative]

You're welcome 😊

[@UsmanBarau-nt7hl]

Thanks allot it is very helpful

[@iqinitiative]

Glad it helped

[@chi_besh2812]

Just saved a life ❤❤

[@iqinitiative]

Glad to ✌️

[@LeavanKaluba-px5hs]

You are the best ever ❤❤❤

[@iqinitiative]

I'm grateful. Glad it was helpful 😊

[@ruvimbodenhere8570]

Very helpful thank you so kuch👏👏👏

[@iqinitiative]

My pleasure 😊

[@halimacooks]

I hope I don't fail my maths exam, I am already on the verge of carry overs, I really do hate school and somehow this video makes it manageable

[@iqinitiative]

You can do it my guy 💪

[@user-zn6zn8to7d]

Thank you very much sir

[@iqinitiative]

You're welcome

[@ChinaecheremMonye]

Can you break down how you expanded 4th equation cos it's confusing

[@ChinaecheremMonye]

I mean the 5th one

[@iqinitiative]

This can help 👇
th-cam.com/video/SB8HtqT5rIo/w-d-xo.html

[@dripzabalance]

Thanks gee 💪🏾💯🙏🏾

[@iqinitiative]

Any time

[@KingdomEmissary-vu3sh]

Question 5 im behind
Help

[@deolasenpai448]

Real Number 5 is confusing why isn't there 2alphabeta at the beginning why is it just one?

[@VestineMusanabera]

THANK YOU!!!!

[@iqinitiative]

You're welcome!

[@awumbamusa4043]

Thank you for making this really easy for me and other ❤

[@iqinitiative]

You're welcome 😊

[@johnkantam-kl1zp]

Infact this is the kind prove I want ❤

[@iqinitiative]

Glad it was helpful 😊

[@RamatulaiJalloh-pu9br]

Can u please explain again

[@ChibaleLumbeta]

What of if we're not given the other questions how can you answer each independent

[@iqinitiative]

You derive each

[@PatriciaChisino-mj3ev]

I have a question 😢

[@iqinitiative]

@@PatriciaChisino-mj3ev Yes...

[@halimacooks]

I just hope i don't fail my maths test is all

[@iqinitiative]

All the best on your test 👍

[@farahnabilah4467]

hye, can i get the answer of all the question ?

[@iqinitiative]

Sure

[@CliffKabweela]

🎉❤

[@iqinitiative]

💙

[@exildahlufwendo5686]

Number 6

[@YashwantGowdaT]

🎉🎉🎉🥳🥳🥳🥳✨✨✨✨

[@iqinitiative]

👍

[@hadapadsurekha8751]

Not understanding

[@Cosmic_realms252]

It's easy try to understand

[@DavidPhiri-pl3hu]

Uli mupondo

[@Mulenga-Tutoring]

I'm really appreciate to this video because has helped me to understand this topic. Am having a question on the same topic, which says: Find the alpha and beta using quadratic equation and also the roots of x²-19x+25=0.
Please in your help!!!

[@iqinitiative]

Kindly send the clear question to my email address
[e-mail]