Roots of a Quadratic Equation - Sum and Products of Roots

How to find α - β :
kzbin.info/www/bejne/eGSuiYWNgbZml8U
How to find α² - β² :
kzbin.info/www/bejne/nZy1ZnuPi7StbNU
How to find α³ - β³ :
kzbin.info/www/bejne/iXObeaeniZqlf9E
How to find α⁴ - β⁴ :
kzbin.info/www/bejne/rJewl3iYn92XqK8
How to find α³ + β³ :
kzbin.info/www/bejne/kH2odoWaZt5pjdE
How to find α⁴ + β⁴ :
kzbin.info/www/bejne/qoC1dXymacd7pdE
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 find α - β : kzbin.info/www/bejne/eGSuiYWNgbZml8U How to find α² - β² : kzbin.info/www/bejne/nZy1ZnuPi7StbNU How to find α³ - β³ : kzbin.info/www/bejne/iXObeaeniZqlf9E How to find α⁴ - β⁴ : kzbin.info/www/bejne/rJewl3iYn92XqK8 How to find α³ + β³ : kzbin.info/www/bejne/kH2odoWaZt5pjdE How to find α⁴ + β⁴ : kzbin.info/www/bejne/qoC1dXymacd7pdE

[@richarddaka3915]

Sir you have flattered me with your detailed explanation coz I failed to get it in 2hrs time during the lecture but I have grasp everything in less than 10 minutes time I Thank u sir🙏🙏

[@iqinitiative]

I'm glad it was helpful. All the best in your studies.

[@GopiLollen]

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[@iqinitiative]

I'm really glad it helped 😊 wishing you the best in your academics.

[@user-cc9fv3nj3f]

sir your explanations are very satisfying. It feels so good attending your class online, surely may God keep bless you more

[@iqinitiative]

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[@dinahayitso6887]

Best thing I woke up at this morning thank you for the explanation

[@iqinitiative]

You're most welcome

[@kabbakamara1536]

Oh thank God 🙏 the teaching was explicit ❤

[@thembenimthembu7338]

You're the best I've struggling to understand sum and products but after watching this video things have changed

[@iqinitiative]

I'm glad it was helpful 😊

[@kevolego]

Wah thanks 😂, I almost died in the lecture hall

[@iqinitiative]

Glad it was helpful 😊

[@Mr.hamisuRabiu-lc7oq]

Thank you very much

[@user-kw7qh1pj8b]

thank you for your teaching you are going to make my engineering course simple may God bless you thank you and continue helping people

[@iqinitiative]

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[@boazisimpanzye8385]

Thank you for sharing the knowledge i can now understand it

[@iqinitiative]

Glad to hear that

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Thank you for your detailed explanation. I really understood!!!

[@iqinitiative]

Glad it was helpful!

[@thefoodie_channel]

I am very happy after watching the video. Thank you very much sir🙏

[@iqinitiative]

I'm glad it was helpful 😊

[@EmeaghaChibuike-zh1oj]

Very clear .....imma subscribe ASAP 😊

[@iqinitiative]

Glad it was helpful 😊

[@-abikedreams-]

Thank you for this, sir! This is honestly so helpful for my upcoming exams next week!

[@iqinitiative]

Glad it helped 😊

[@issahmusenga1196]

hallo...done your exams? If yes, how was it and if not all the best

[@user-ce7cw4rn6h]

Thank you sir for this breakdown of sum and product with alpha beta.This was really understandable,interesting and fun👍🏻👍🏻👍🏻👍🏻👍🏻👍🏻

[@iqinitiative]

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

[@tolu5918]

thank you🙏🏽🙏🏽

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You are so welcome

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This was veryyy helpful

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I'm glad it was

[@dripzabalance]

Thanks gee💪🏾

[@iqinitiative]

You're welcome 😊

[@KukwahBazil-cu6qv]

Thanks so much sir. You have maid me understand this better.

[@iqinitiative]

I'm glad it was helpful 😊

[@cudjoemusicofficial3018]

Thanks sir …

[@iqinitiative]

You're welcome

[@user-sy5ks2ff1i]

😮 amazing.more video pls 😊

[@iqinitiative]

Sure 😊

[@blessing920]

This is very helpful 🙏❤ any video on functions

[@iqinitiative]

I'm glad it was helpful. Which type of functions exactly?

[@blessing920]

@@iqinitiative Domain and Range,inverse

[@user-is8db5op6p]

Thanks alot guys M

[@iqinitiative]

You're welcome 😊

[@mohammedboon9434]

Thank you sir I love you teaching It's very understandable

[@iqinitiative]

I'm grateful and I'm glad it was helpful 😊

[@MohamedAbdi-xd5xm]

Sir I'm satisfied with ur brief explanation

[@iqinitiative]

So glad it helped 😊

[@Shadow_abyssal]

Thank u so much

[@iqinitiative]

You're welcome 😊

[@Shadow_abyssal]

​@@iqinitiativehow to find a-2 b-2

[@divineambrose8257]

Sir,thank you for the detailed explanation, I'm really grateful but the example 2c (x²-p²),(i can't type alpha and beta on my keyboard😊)you said we could leave our answer in surd form,and at this stage the answer was -2surd 24,when you simplify it it's supposed to be -2*4surd6,the the final answer will then be -8surd6

[@divineambrose8257]

Sorry 1c

[@iqinitiative]

Yes that's fine

[@chukwudebeluchukwuma2350]

Please Sir thank u very much ,but those signs u are missing what was the reason

[@suzyonyimbiri3403]

Excellent, I had just a day to exams😊

[@iqinitiative]

All the best

[@DavidDidi-xj7du]

Thanks it is wow

[@iqinitiative]

You're most welcome

[@rhigsamgautam4999]

thanku very much

[@iqinitiative]

You're welcome 😊

[@GeorgeMukena-ml3zo]

thanks for the explanation so now my question is what if we have been given (the roots of the quadratic equation x²-3x-5=0 are alpha and beta. find the equation with the roots a-3 and b-3) take "a" has alpha and "b" has beta

[@iqinitiative]

kzbin.info/www/bejne/pILKnI2QnNOnZqM

[@muongawalichupa7053]

How do we form a new equation from this

[@iqinitiative]

kzbin.info/www/bejne/pILKnI2QnNOnZqM

[@charlesnjapau-xe8oq]

Sir I need help in solving the expression of alpha cubic miners beta cubic

[@iqinitiative]

Check the link in the description

[@KasaliMunshya-wm2eu]

How can I solve this question, 3/a-1 + 3/B-1

[@iqinitiative]

Check the link in the description

[@tutorchristabel]

well explained

[@iqinitiative]

✌

[@LubegaHamza-ee5bs]

Thx

[@iqinitiative]

You're welcome 😊

[@user-ks2cc4lc4g]

How do I find alpha squared beta +alpha beta squared

[@iqinitiative]

Watch this video here: kzbin.info/www/bejne/pILKnI2QnNOnZqM

[@onemuslimman]

Dammmmnnn this is so darn understandable

[@iqinitiative]

I'm glad it was helpful 😊

[@user-fw5gl1uw8x]

For beta ^2-alpha^2 why is that you didn't multiply it by its self twice but did difference of two squares

[@iqinitiative]

Because α² - β² is not equal to (α - β)²

[@user-fw5gl1uw8x]

​@@iqinitiative am know clear So if we had the second expression how would you go about it

[@iqinitiative]

Watch this video kzbin.info/www/bejne/pILKnI2QnNOnZqM It will assist you.

[@mohammedboon9434]

If Alpha and beta are the roots of the equation 3X^2 -6x-9=0, find the quadratic equation whose roots are 1/a-1 and 1/B-1

[@iqinitiative]

Check the link in the description

[@RobertAnkomah-fz2gh]

U too much ❤

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Please 🤲 😁

[@SundayMulimine]

What of alpha cubic - better cubic

[@iqinitiative]

kzbin.info/www/bejne/iXObeaeniZqlf9E

[@sukesheducation]

watch in 1.25x speed and u'll thank me later

[@sukesheducation]

also wonderful video sir

[@iqinitiative]

You're welcome 😊

[@samueltimi4924]

Tanxs

[@zurichmaraj]

i think the answer i C is not corect

[@iqinitiative]

How so?