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.

[thatkdpgig]

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[tantan]

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

[halimacooks]

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

[basigibismark]

You have filled my quadratic equations knowledge lacuna... Thank you.

[emmanuelmichael]

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

[YieFallah]

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!!!

[YanNingL-hxgu]

I like it man, u elucidate it very well

[bondpairsgonewrong]

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

[LawrenceNdelemani-kz]

Thank you sir for explaining in a simple way

[MaybinKapiso]

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

[abdullahlawal]

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

[UrLocalTed]

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

[sapphire]

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

[Divinesview-ho]

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

[OlabisiOlawale-cl]

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

[Hahaha...]

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

[ChinaecheremMonye]

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

[dianetengya]

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

[ChibaleLumbeta]

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