Proof of the Quadratic Formula - Easy Explanation

Поделиться
HTML-код
  • Опубликовано: 6 янв 2025

Комментарии • 137

  • @melcomc19
    @melcomc19 6 лет назад +32

    I like the way that you go step by step and not take it for granted that we should already know the smallest step.

    • @PreMath
      @PreMath  6 лет назад

      Thanks Melcom O for the feedback. Kind regards :)

    • @yosiganish1218
      @yosiganish1218 5 лет назад

      The proof of the formula was not easy to understand because it long and winding explanation even though he make it step by step

  • @SALTUBE0324
    @SALTUBE0324 Год назад

    I am Japanese. In Japan, this lighting is not on RUclips and it helped me a lot. Thank you so much.

  • @rasmusgyldenvang8046
    @rasmusgyldenvang8046 2 года назад +2

    you are the biggest legend and just rescued my math assignment! keep on going my guy

  • @ibraimidi3208
    @ibraimidi3208 4 года назад +23

    Sir God will bless you forever , your too good

    • @PreMath
      @PreMath  4 года назад +5

      Dear Ibraim IDi, thank you so much for your feedback! Please keep supporting my channel. Kind regards 😀

  • @Thesketch_guy
    @Thesketch_guy 6 месяцев назад +1

    What happened to the (b/a)x on the left hand side after bringing x²+(b/2a)² together? Where did it go?

  • @ChavoMysterio
    @ChavoMysterio 4 года назад +19

    Completing the square is one of the proofs in the quadratic formula.

    • @PreMath
      @PreMath  4 года назад +4

      You are correct my friend!
      Take care dear and all the best😃 Have a very happy and blessed New Year!

  • @lamgai5405
    @lamgai5405 Год назад +2

    You are a best teacher I ever met💯❤

  • @Syntaxxed
    @Syntaxxed 2 года назад

    MATH PORN!! I was so frustrated using this formula and not knowing where it comes from! Why don't teachers start by writing the proof first? Now it makes sense for me to use it. Thanks a lot!

  • @Teeeeanddeeee
    @Teeeeanddeeee 4 года назад +5

    OMG you are there best sir. More wisdom and grace. This just saved me a punishment in class

    • @PreMath
      @PreMath  4 года назад +2

      So nice of you dear Tobechukwu Nwankwo! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @jokutoinen1236
    @jokutoinen1236 4 года назад +11

    Me halfway to the video: Oh yeah, it's all coming together

    • @PreMath
      @PreMath  4 года назад +2

      I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @Shubham-z2d4t
    @Shubham-z2d4t 11 месяцев назад +1

    Love you bro what great explanation.

  • @komorebi5816
    @komorebi5816 3 года назад +2

    Thanks so much!! ur a much better teacher than my one !👑💖

  • @ektasingh6397
    @ektasingh6397 3 года назад +1

    Thank you sir it cleared all my doubts on my halfway of the video...!!Really sorry great explanation..!! 👍👍

  • @Jayesh728
    @Jayesh728 2 года назад +2

    thank you so much sir
    I stuck in 5:15
    I was thinking how 4a² is lcm but now I understand by this fabulous explanation 🙏

    • @SanjayKumar-jh9nf
      @SanjayKumar-jh9nf Год назад

      I was stuck when I did not know to add b/2a on both sides, if I had known that I could've done rest of it

  • @sgarkhail
    @sgarkhail 2 года назад

    Thanks

  • @aashish4210
    @aashish4210 Год назад +1

    Sir in 4.00 minute where did the bx/a go sir?

    • @well_i_say
      @well_i_say Год назад

      right? i want to know too

  • @adithyapj4632
    @adithyapj4632 4 года назад +1

    THANK YOU SIR....
    Very much clear...
    Love from Kerala, India...

    • @PreMath
      @PreMath  4 года назад +2

      You are very welcome dear Adithya from beautiful Kerala! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends.
      Stay blessed and healthy😃 Greetings from USA!
      Very happy New Year!

    • @adithyapj4632
      @adithyapj4632 4 года назад

      @@PreMath 😍👍

  • @devaditya6473
    @devaditya6473 4 года назад +5

    I like your teaching love from india

    • @PreMath
      @PreMath  4 года назад +1

      Thank you so much Dev Aditya for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)

  • @oshadarathnayake7311
    @oshadarathnayake7311 Год назад +1

    Thank you very much for this useful video.

  • @MathCuriousity
    @MathCuriousity Год назад

    @premath would you say this is sufficient to prove that “all quadratics have two complex roots”? What I mean is, is this enough as a proof without having to use some more advanced theorems?

  • @jamesmaria8325
    @jamesmaria8325 4 года назад +6

    Thank you very much sir for the way you explained it step by step I really appreciate .
    Once again thank you sir

    • @PreMath
      @PreMath  4 года назад +1

      You are very welcome Maria! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best 😃

  • @ajaymeena3771
    @ajaymeena3771 3 года назад

    thanks sir and love from Rajastan, India

  • @shortvideoofficialup6528
    @shortvideoofficialup6528 4 года назад +1

    I am new on your channel
    But I really like your proof
    Thanks sir
    Love you a lot.

    • @PreMath
      @PreMath  4 года назад +1

      Thanks and welcome dear Adarsh Patel! Take care😃

  • @priyadarshinichoudhary2483
    @priyadarshinichoudhary2483 2 года назад

    Very nice explanation....
    .. 👍

  • @adepojutimilehin680
    @adepojutimilehin680 2 года назад

    How did you get rid of (b/a)x

  • @navyaanchauhan_823
    @navyaanchauhan_823 3 года назад

    What we call that process in which we take middle part half square and add on both sides .

  • @ryanwillike8609
    @ryanwillike8609 2 года назад

    This might be a dumb question but why isnt x divided by A in the second step, why it is b/a x not bx/a?

  • @brutalgaming1305
    @brutalgaming1305 2 года назад

    Can you tell me why we don't break under root from Numrators. Thats the main step

  • @pingmendoza719
    @pingmendoza719 5 лет назад +1

    Very clear! Exemplary explanation.

  • @mehillicit18
    @mehillicit18 3 года назад

    Sir may you live long thanks 😊😊😊

  • @rafichoudhary651
    @rafichoudhary651 4 года назад +2

    It's amazing 😍😍😍 sir

    • @PreMath
      @PreMath  4 года назад +1

      Thank you so much Rafi Choudhary for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)
      --

  • @arifghori7683
    @arifghori7683 Год назад

    most easiest way amazing sirr

  • @ankushsaini5578
    @ankushsaini5578 Год назад +1

    Thank you sir ☺️

  • @omkartikekar6016
    @omkartikekar6016 4 года назад +1

    Just amazing tutorial video sir🇮🇳🇮🇳🇮🇳

    • @PreMath
      @PreMath  3 года назад +1

      So nice of you Omkar! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃 Keep rocking!

  • @sachinphile
    @sachinphile 3 года назад +1

    simple manipulation , amazing formulation!

    • @PreMath
      @PreMath  3 года назад +1

      Thanks Major for the visit! You are awesome 👍 Take care dear and stay blessed😃 Kind regards
      Love and prayers from the USA!

  • @siimseiin
    @siimseiin 3 месяца назад

    Since when did this new rule come with you have to devide letter on all other letters?

  • @johnrussel4483
    @johnrussel4483 Год назад

    2:27 there is something missing, explain why you to divide by two and then square.

  • @faithnte
    @faithnte 4 года назад

    You made your common denominator 4a2 but only multiplied -c/a with 4a, why is it that?

    • @sweetdarkness8572
      @sweetdarkness8572 4 года назад

      Sorry for answering, but I think it should be done so the denominators on the right side would be the same, hehe

  • @bilalyusuf2783
    @bilalyusuf2783 2 года назад

    Math teacher ❌
    Indian guy on RUclips ✅

  • @jaymathtips
    @jaymathtips Год назад

    I’ve really learned , thanks

  • @muzwamasimusifali
    @muzwamasimusifali 9 месяцев назад

    Thank you very much🙏🙏

  • @somanpatra2193
    @somanpatra2193 3 года назад

    6:38 & 6:58
    After sq rooting denominator 4a² why didn't you write ±2a, bcoz sq root of 4a² is ±2a
    And ± / ± = + ,. Right?

    • @dipteeshukla7
      @dipteeshukla7 2 года назад

      I guess because denominators are never negative...if they are incase, the negative sign shifts to the numerator....and if the numerator and denominator both are negative, the negative signs cancel out each other!!

  • @ntirupathirao3583
    @ntirupathirao3583 4 года назад +1

    Tq you very much sir.For your explanation.😊😊😊

    • @PreMath
      @PreMath  4 года назад

      You're very welcome Mr. Rao! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)

  • @quadrillionairesempire8819
    @quadrillionairesempire8819 4 года назад

    Why we multiply 4a to -c/a on right hand side

    • @shanmukh4341
      @shanmukh4341 4 года назад

      AFRASIYAB AKHUNZADA he has taken the square of (b/2a)2

    • @sweetdarkness8572
      @sweetdarkness8572 4 года назад

      So the denominators on the right hand side would be the same

  • @aakashkarajgikar3935
    @aakashkarajgikar3935 3 года назад

    5:43 Did you know that you are using the "Commutative Property" with addition?

  • @RahulYadav-vi5vd
    @RahulYadav-vi5vd 3 года назад

    Sir I don't understand one thing when you do under root on b2 why don't you write b and for 4a2 you write 2a . Sir please tell I don't understand this thing .

    • @itsmemailingyou4234
      @itsmemailingyou4234 Год назад

      He simplified the square root of 4a^2. Square root of 4 is 2, and square root of a^2 is a, leaving 2a.

  • @thirumalai8106
    @thirumalai8106 4 года назад +1

    Very nice explanation

    • @PreMath
      @PreMath  4 года назад +1

      Dear Thirumalai Nathan, I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @davidbell8401
    @davidbell8401 3 года назад +1

    Root memorization. Most people can show you what you need to do. Explaining why is what most people cannot tell you.

  • @badarahmad6860
    @badarahmad6860 4 года назад +1

    sir how did you make 2a out of under root 4a² it becomes 4a when we cut ² with under root

    • @PreMath
      @PreMath  4 года назад +1

      Dear Badar, 4 can be written as 2² .
      4a² = (2²)(a²) = (2a)²
      => Sqrt (2a)² = 2a
      If you still have a question, please don't hesitate to reach me.
      Thanks for asking. Take care dear and keep watching😃

    • @badarahmad6860
      @badarahmad6860 4 года назад +1

      thanks sir i have another qs why we write ±sign after square root

    • @PreMath
      @PreMath  4 года назад +3

      @@badarahmad6860 Since we are dealing with the Quadratic Equations, the highest degree(power) is 2 => That means, we must have two solutions => That's why we write ±sign after square root => one solution with + sign, and the other with - sign. Hope that helps. All the best.
      Take care Badar 😃

  • @abhinavrathod7692
    @abhinavrathod7692 3 года назад

    nice explanation sir you are great

  • @abdulrafaymalik4470
    @abdulrafaymalik4470 3 года назад

    Thank you sir you can teach us a very easy quid to solve this question

  • @kabid1777
    @kabid1777 3 года назад

    2 is missing if we open x+b/2s raised power square

  • @thomasaskew1985
    @thomasaskew1985 3 года назад

    Thank you. You are a godsend.

  • @mayabelle7558
    @mayabelle7558 2 года назад

    Thank you so much for this

  • @kanchankumarsrivastava7380
    @kanchankumarsrivastava7380 4 года назад +1

    Thankyou for making this video

    • @PreMath
      @PreMath  4 года назад +1

      You are very welcome Kanchan! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @thomasshelby-bw4gn
    @thomasshelby-bw4gn Год назад

    man thank u so muchh this made me understand

  • @marvellouskelechi8301
    @marvellouskelechi8301 3 года назад

    Well explained!

  • @aaj3493
    @aaj3493 3 года назад

    why did we divide b/a by 2?

    • @aaj3493
      @aaj3493 3 года назад

      also, why didn't we take bx/a in the 4th line

    • @G_money333
      @G_money333 2 года назад

      This is a little late, but you do it to complete the square

  • @nasreenhayee1522
    @nasreenhayee1522 3 года назад +1

    Wow it has been 2 year still helping

    • @PreMath
      @PreMath  3 года назад +2

      Thanks for the visit! You are awesome 👍 Take care dear and stay blessed😃 Kind regard

    • @nasreenhayee1522
      @nasreenhayee1522 3 года назад

      @@PreMath You are welcome, thank you, you too you are such a great teacher

  • @onlydreams4328
    @onlydreams4328 2 года назад

    Thank you so much sir

  • @kdrkhtube1518
    @kdrkhtube1518 3 года назад

    very fine you explein

  • @MariamAhmed-gj3ik
    @MariamAhmed-gj3ik 4 года назад +1

    Thank you ❤️ ❤️

    • @PreMath
      @PreMath  4 года назад +1

      You are very welcome Mariam! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends.
      Take care dear and stay blessed😃

  • @vascobishop3359
    @vascobishop3359 2 года назад

    Very clear

  • @milkneet9781
    @milkneet9781 4 года назад +2

    Wow sir I was searching this conclusion and just found it thanks.

    • @PreMath
      @PreMath  4 года назад +3

      So nice of you Nihar dear! Stay blessed and healthy😃
      Very happy New Year!

  • @sasrikaneewin818
    @sasrikaneewin818 3 года назад +3

    You are a legend!

    • @PreMath
      @PreMath  3 года назад +3

      So nice of you Sasrika
      Thanks dear for the feedback. You are awesome 👍 Take care dear and stay blessed😃
      Love and prayers from the USA!

  • @JavedIqbal-ul9cp
    @JavedIqbal-ul9cp 4 года назад +1

    Thank u much sir god bless u

    • @PreMath
      @PreMath  4 года назад +1

      You are very welcome Javed! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends.
      Take care dear and stay blessed😃

  • @mr_sher1749
    @mr_sher1749 10 месяцев назад +5

    This video doesn’t explain….WHY DID YOU RANDOMLY DECIDE TO DEVIDE BY 2….why not do b/50a?….just coz it suits you doesnt mean its a proof!

    • @redahmede
      @redahmede 19 дней назад

      it is not random.if u have (u+v)^2 it gives you:u^2+2(u)(v)+v^2 then if u compare 2(u)(v)=(b/a)x it gives you v=b/2a as simple as that

    • @redahmede
      @redahmede 19 дней назад

      and if you look at the equation it look like a a^2+2(a)(b)+b^2

    • @jolenegan
      @jolenegan 13 дней назад

      this is the part i don’t understand too! why are we dividing by 2!

  • @manishasinha1872
    @manishasinha1872 4 года назад

    Why we should divide b/a by 2...plzzz ans

  • @ZahidHussain-ru9yl
    @ZahidHussain-ru9yl 3 года назад

    What is proof of quadratic equation using quadratic formula.

  • @BontleHlongwane
    @BontleHlongwane 2 года назад

    thank you sir so much

  • @lathasn1208
    @lathasn1208 2 года назад

    Thank you sir

  • @sarthaksood5254
    @sarthaksood5254 Год назад

    God bless u the son of maths

  • @rheygamul3439
    @rheygamul3439 4 года назад +1

    thanks a lot sir

    • @PreMath
      @PreMath  4 года назад +1

      You are very welcome Rhey Gamul! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

  • @overdosegamingyt2022
    @overdosegamingyt2022 3 года назад

    Thankyou sir

  • @sgarkhail
    @sgarkhail 2 года назад

    Please accept Our humble thanks contribution. Regards

  • @idkanaccountname
    @idkanaccountname Год назад

    Like putting together a puzzle 🎉

  • @ashukashyap7544
    @ashukashyap7544 2 года назад

    Satisfy the quadratic equation by putting the obtained value of x in that equation

  • @TheFlax33
    @TheFlax33 3 года назад

    Nice

  • @AmjadAli-lk3pf
    @AmjadAli-lk3pf Год назад

    Where this formula is, we will use...

  • @frankmumbi7284
    @frankmumbi7284 Год назад

    By completing the square, solve the quadratic equation 4.6y+3.5y-1.75=0 .

    • @DanielRumba
      @DanielRumba 5 месяцев назад

      That is not a quadratic equation

  • @PakistaniCows77
    @PakistaniCows77 Год назад

    Thank you Sir. Sir I am watching this video today.
    03:01:2024

  • @AmjadAli-lk3pf
    @AmjadAli-lk3pf Год назад

    Please explain with a sketch....

  • @amit_yadav8418
    @amit_yadav8418 3 года назад +1

    Masta masta

  • @zoraavarbhai6009
    @zoraavarbhai6009 4 года назад

    Expressed good

    • @PreMath
      @PreMath  4 года назад

      Thank you so much! Please keep supporting my channel. Kind regards 😀

  • @aabidmohammedrather3607
    @aabidmohammedrather3607 3 года назад

    God Bless

  • @davidoneill2466
    @davidoneill2466 5 лет назад

    There is an easier why to do this
    Multiply by 4A and complete square

  • @uttamamisra4956
    @uttamamisra4956 4 года назад +1

    It is very complicated

  • @heeetv6463
    @heeetv6463 4 года назад

    Nicee

  • @Lanadelreyzzzz198
    @Lanadelreyzzzz198 27 дней назад

    Some one explain to me in malayalam 😢

  • @vdas06
    @vdas06 3 года назад

    👌

  • @AbhayPandey-dd6br
    @AbhayPandey-dd6br 3 года назад +1

    🅾🅿 🆂🅸🆁

    • @PreMath
      @PreMath  3 года назад +1

      Thanks Rajan dear for the feedback. You are awesome 👍 Take care dear and stay blessed😃

  • @NomadGearShift
    @NomadGearShift 2 года назад

    Yah to phazool cheez hai na mai to kuch be prove karu ga apni marzi ksi kuch be add ya multiply kr ka. Eg. 3=9. Square b/s 3²=9²
    9=9²
    9=√9²
    9=9
    :.
    3=9
    Kuch aaisa he phazool hai
    I know maina kuch be likha upar (yah ghalat hai)
    although it is Same

  • @rudrapatel9609
    @rudrapatel9609 2 года назад

    Sir plz speak fasterr