Solving Quadratic Equations by Factoring

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  • Опубликовано: 29 ноя 2024

Комментарии • 440

  • @MathTeacherGon
    @MathTeacherGon  2 года назад +40

    Follow me on my social media accounts:
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    • @crishajademeniola8945
      @crishajademeniola8945 2 года назад +2

      Sir pa solve naman Po bay factoring
      X²_4x_21=0
      a=1 b=4 c=21

    • @abowadako8246
      @abowadako8246 2 года назад +1

      . well done

    • @zenako667
      @zenako667 2 года назад

      Pano po pag inequalities

    • @sunshinecity8273
      @sunshinecity8273 8 месяцев назад

      Hi Math Teacher Gon, i realized u don't have commercials whenever i click on ur videos. U may wanna check it out. I kno dat is how utubers get paid.

    • @ngocdo5687
      @ngocdo5687 6 дней назад

      XX + 3X - 28
      * 28 = 2x14 = 4x7 ..
      7 - 4 = 3 = (b)
      ** 7 : 7x7 + 3x7 - 28
      49 + 21 - 28 # 0
      -7 : (-7x-7) + 3(-7) - 28
      49 - 21 - 28 = 0
      ** 4 : 4x4 + 3x4 - 28
      16 + 12 - 28 = 0
      *** X' = -7 , X" = 4 ./.

  • @jkhsk
    @jkhsk 6 месяцев назад +104

    up coming g9 here, nag-aadvance learning

    • @Micshyyyyyy.
      @Micshyyyyyy. 5 месяцев назад

      Same teh

    • @jocelyntuloy-jh6yx
      @jocelyntuloy-jh6yx 4 месяца назад +4

      same din, ayaw ko nmn na pumasok ng walang alam kase slow learner ako eh heheh

    • @darinawtf
      @darinawtf 4 месяца назад +1

      UC G9 HERE, GOODLUCK DARLING 😊

    • @hello_america_1
      @hello_america_1 4 месяца назад +1

      gr9 comming up na hope i remember all the thing i know wish me luck

    • @Asano_taiyo
      @Asano_taiyo 4 месяца назад +3

      Yoko lang bumaksak

  • @carljames2423
    @carljames2423 2 года назад +18

    okay,this is literally a good teacher...I UNDERSTAND ITT!!thx to you,GON

  • @chamzvlog2358
    @chamzvlog2358 2 года назад +3

    Thank you very much sir ang galinh nyu po mag explain 💙❤️

  • @BisayainHolland
    @BisayainHolland 2 года назад +411

    Who's here who don't like this subject yet still watching .. 😆

    • @xianne8031
      @xianne8031 2 года назад +46

      When you had to because of the grades

    • @skyflex3325
      @skyflex3325 2 года назад +25

      I need to watch this bcs we have individual recitation Tomorrow😭

    • @abdirizaksheikhadan3252
      @abdirizaksheikhadan3252 2 года назад +6

      Me

    • @user-rl7jt4iw7p
      @user-rl7jt4iw7p 2 года назад +11

      I had exam and im reviewing by watching vids 😭💔

    • @Ronin542
      @Ronin542 2 года назад +6

      Literal na me

  • @ilovebl_101
    @ilovebl_101 2 года назад +59

    For no. 6
    X²+5x+6=0
    (X+3) (x+2) since the two factors of 6 are 3 and 2 in which if you sum up this two the answer would be positive 5.
    X+3=0 x+2=0
    X=-3 x-2(these are the roots of the equation) .. Cause if you transpose positive 3 and positive 2 of course the answer would be negative.

    • @fanboy3175
      @fanboy3175 2 года назад +2

      agreed!

    • @queenietiro4547
      @queenietiro4547 2 года назад +1

      Thank you for answering my assignment.

    • @ilovebl_101
      @ilovebl_101 2 года назад

      @@queenietiro4547 welcome

    • @huseyinergul6365
      @huseyinergul6365 2 года назад

      Ekisi üç ile eksi ikinin çarpımı ekisi altı eder
      İmsulatif sayibilim modelinde geçerli kural budur.

    • @rencruz2622
      @rencruz2622 Год назад +2

      pwede rin po bang
      x1=1 x2=-6 ??

  • @yjlv
    @yjlv 2 года назад +8

    thank you po! i'm a slow learner and minsan rin lutang ako sa school lalo kapag math time na so hindi talaga ako nakakasabay but with this i was able to understand how to factor ^^

  • @marmar719
    @marmar719 Год назад

    from Facebook to utube..still wants to continue to learn at kabisadohin..slamat Sir

  • @senseenyei4223
    @senseenyei4223 2 года назад +67

    #6) ASSIGNMENT REPORT
    (X1=-3, X2=-2)

    • @rencruz2622
      @rencruz2622 Год назад +3

      pwede rin po bang
      x1=1 x2=-6

    • @madisonroche
      @madisonroche Год назад +5

      ​@@rencruz2622 noooo hindi pwede kase pag inadd mo yung 6 at 1 yung answer is 7 pero pag 3 and 2 yung answer is 5 the same as the linear term in the equation which is 5x

    • @donmarnugas3994
      @donmarnugas3994 5 месяцев назад +3

      Nakuha kong answer is (X1=-5), (X2=-1)

    • @aubrey27
      @aubrey27 5 месяцев назад

      ​​@@donmarnugas3994 hi po, mali po kase po pag-minultiply po yung 5 at 1 magiging positive 5 lng po yon hindi po sya 6 dapat po 6

    • @jhodeinla5416
      @jhodeinla5416 4 месяца назад

      Edi Ang Tamang sagot X¹=-3 , X²2​@@aubrey27

  • @CyrusJamesVentura
    @CyrusJamesVentura 3 месяца назад +1

    Ang galing nyo pong mag turo mas lalo kopong naintindihan dahil sainyo 😊

  • @ghulamhussainpersonalvlog5291
    @ghulamhussainpersonalvlog5291 2 года назад +7

    Excellent explanation please keep it up

  • @gayle14
    @gayle14 5 месяцев назад +22

    Pov: nag aadvance learning ka na, bago pa mahuli ang lahat 😂

  • @Ceraus_Merus
    @Ceraus_Merus 4 месяца назад +1

    Nag advance learning muna para di na magulohan mamaya, thank you po sir Gon!

  • @GiacinthaBethany25
    @GiacinthaBethany25 2 месяца назад +11

    Who's Grade-9 here?🎉❤

  • @drsirmechemistrymaster
    @drsirmechemistrymaster 2 года назад +2

    Nice lesson....Keep it up

  • @crianababa1438
    @crianababa1438 2 года назад +1

    Salamat po sir lagi kasi ako lutang sa math subject eh. Madali lang pala

  • @CyrusJamesVentura
    @CyrusJamesVentura 3 месяца назад +1

    Sana po makapasa ako sa 1st quiz inulit ulit ko pa pong panoorin yung video nyo😊

  • @kaytin5998
    @kaytin5998 Год назад +13

    Thank youuu, i watched tons of yt math tutorials but this is the only one that helped. You're a good teacher! I hope I won't forget this until next schoolyear (yes im an upcoming grade 9 and i've been studying advanced) goodluck to me i guess. Anyways, thanks alot! God bless! :)

  • @mathwithcharlie
    @mathwithcharlie 2 года назад +2

    Incredible Sir, Keep up. I like it

  • @SheyDemalata
    @SheyDemalata Год назад +30

    To solve the equation x² + 5x + 6 = 0, we can use factoring or the quadratic formula.
    1. Factoring:
    The equation can be factored as (x + 2)(x + 3) = 0.
    To find the solutions, we set each factor equal to zero:
    x + 2 = 0 or x + 3 = 0
    Solving these equations, we find:
    x = -2 or x = -3
    Therefore, the solutions to the equation x² + 5x + 6 = 0 are x = -2 and x = -3.
    2. Quadratic Formula:
    The quadratic formula states that for any equation in the form ax² + bx + c = 0, the solutions are given by:
    x = [-b ± √(b² - 4ac)] / 2a
    For our equation, which is x² + 5x + 6 = 0, we have a = 1, b = 5, and c = 6.
    Plugging these values into the quadratic formula, we get:
    x = [-5 ± √(5² - 4(1)(6))] / 2(1)
    Simplifying further:
    x = [-5 ± √(25 - 24)] / 2
    x = [-5 ± √1] / 2
    x = [-5 ± 1] / 2
    Therefore, the solutions using the quadratic formula are:
    x = (-5 + 1) / 2 = -2
    x = (-5 - 1) / 2 = -3
    Again, the solutions to the equation x² + 5x + 6 = 0 are x = -2 and x = -3.

    • @MathTeacherGon
      @MathTeacherGon  Год назад +7

      this is so good

    • @kaydenandrade3138
      @kaydenandrade3138 Год назад

      Can u summaries that please?

    • @crustalowis
      @crustalowis Год назад +5

      I ain't reading All that

    • @haroldmilano7349
      @haroldmilano7349 Год назад +2

      ​​@@kaydenandrade3138
      x²+5x+6=0
      Factored into
      (x+3)(x+2)=0
      Then,
      x+3=0, x+2=0
      After that you'll just transpose.
      Therefore the answer is
      x=-3 and x=-2

    • @kaydenandrade3138
      @kaydenandrade3138 Год назад +1

      @@haroldmilano7349 thx

  • @imchimatticus19
    @imchimatticus19 2 года назад +29

    6. X^2 + 5X +6 = 0
    6 could be like 3(2) where if we add we can get the sum of 5.
    (X+3) (X+2) = 0
    x+3=0 | x+2=0
    x= -3 | x= -2

    • @hosniemamalo1526
      @hosniemamalo1526 2 года назад +3

      Mali formula padin dapat mong sundin
      Tamang sagot ay
      X=-3
      X=2

    • @imchimatticus19
      @imchimatticus19 2 года назад

      @@hosniemamalo1526 really? My bad po sorry hahahahah matagal na po kasi ako dyan sinubukan ko lang kong kaya paba after 7years

    • @imchimatticus19
      @imchimatticus19 2 года назад +1

      @@hosniemamalo1526 peru for me po sa 7yrs nayon masasabi ko lang tama ako😅😅😅

    • @christainjohncortez3273
      @christainjohncortez3273 2 года назад +1

      @@hosniemamalo1526 if x=2 then subst. the value
      (2)²+5(2)+6=0
      Then, 20 ≠ 0. So mali yung x=2

    • @1shannpro1shannpro64
      @1shannpro1shannpro64 2 года назад +1

      @@hosniemamalo1526 pano mo namin maging -3 and 2 Yan Kasi kapag (-)x(-)=+
      (+)x(+)=+
      (-)x(+)= -
      (+)x(-)=-
      Bali kapag pinag multiply mo Yung
      3×-2= -6 but the solution x²+5x+6=0
      Positive 6 bakit naman negative -6
      Means here answer are correct

  • @ronylsaranillo1700
    @ronylsaranillo1700 2 года назад +18

    For Number 4: We can also factor the 3x² - 75 = 0 into (3x-15)(x+5) = 0 : Same result as yours. Thank you

  • @njievaluis2738
    @njievaluis2738 2 года назад +4

    Thanks very much sir I can now solve

    • @MathTeacherGon
      @MathTeacherGon  2 года назад +1

      wow... I hope it will continue on other topics...🙂
      Keep on learning

  • @JinkyLusaran-gz7tp
    @JinkyLusaran-gz7tp Год назад

    Wow Ang gling Naman mag explain

  • @morenangbicolanaannabethfu9416
    @morenangbicolanaannabethfu9416 2 года назад +2

    Thank you for. Your tutored

  • @cynthiastith
    @cynthiastith 2 года назад +4

    You are a gift! Thank you for doing this!

  • @bebmochel8662
    @bebmochel8662 Год назад +4

    This is much better than the other videos ive watch recently 😩

  • @Memoriestokeep22
    @Memoriestokeep22 3 месяца назад

    Thank you po!!! Naintindihan ko na❤️❤️

  • @GCSEALevelMaths2025
    @GCSEALevelMaths2025 2 года назад +3

    Excellent video well explained.

  • @johncristopherp.marquez1789
    @johncristopherp.marquez1789 2 года назад +1

    Salamat tagala kuya makatutulong talagà toh

  • @ssb2dids194
    @ssb2dids194 2 года назад +21

    Can you make another like this but with the checking

    • @maxpretty2003
      @maxpretty2003 2 года назад +4

      Substitute the value of x to given and you will see it upon substituting it.
      Example:
      x²+10x+25=0
      (x+5)²=0 or (x+5)(x+5)=0
      x=-5
      Checking:
      x²+10x+25=0
      (-5)²+10(-5)+25=0
      25-50+25=0
      -25+25=0
      0=0

  • @Unknownperson-uh1bh
    @Unknownperson-uh1bh 2 года назад +1

    May test kami bukas HAHAHAHAH thank youuu!

  • @alvinlipio2287
    @alvinlipio2287 2 года назад +1

    Sir, the answer in #4 is correct but I doubt with your computation, as far as I remember we cannot just disregard that 3 in the equation. Its better to show that 3x² - 75 is equal to (3x - 15)(x + 5) = 0. In this factor we can show the proper computation.

  • @Carrymejane
    @Carrymejane 10 месяцев назад

    This is beginner friendly!! You explained it so well!!!

  • @mikaelajulianaeden6377
    @mikaelajulianaeden6377 2 года назад +2

    Name: Mikaela Juliana Alagad
    Grade 9 Einstein
    Sir. Paul Evan Mornaol
    My answer in no. 6 is
    X^2 + 5x + 6 = 0
    (X + 2) (X + 3) = 0
    X + 2=0 X+3= 0
    X=-2 X=-3

  • @arjungurung4373
    @arjungurung4373 Год назад +1

    Good lesson

  • @maxpretty2003
    @maxpretty2003 2 года назад +4

    In that case of item number 3, before I use the extracting square root method, I transpose the constant number first and my answer is x=±7.

  • @CharliemaeYuson
    @CharliemaeYuson 3 месяца назад

    Thank you po naka 18/20 po ako ang galing nyo po mag turo🫶

  • @Mathicalminds
    @Mathicalminds 2 года назад +1

    Impressive ❤️🔥

  • @gordly1878
    @gordly1878 2 года назад +3

    THANK YOU!

  • @deku-kun7113
    @deku-kun7113 2 года назад +3

    Good morning po sir
    Taga Grade 9 - Bernoulli po ako
    Si Ma.Floritalyn Artuz

  • @ItsSeated
    @ItsSeated 3 месяца назад +2

    6, x²+5x+6=0
    (x+3)(x-2)
    6 = 3•2
    3+2 = 5
    [X1 = -3]
    [X2 = 2]

  • @hello_america_1
    @hello_america_1 4 месяца назад +2

    thank you this was relly helpfull for my upcoming gr9

  • @torreskymen.9655
    @torreskymen.9655 2 года назад +2

    dis is very helpful thankkk uuu

  • @SvnnSalve
    @SvnnSalve 8 месяцев назад +1

    Wa jud ko kasabot .

  • @markdanlazo255
    @markdanlazo255 2 года назад +1

    Thank you Po gets kuna Po

  • @MaryganebeareLibrella
    @MaryganebeareLibrella 4 месяца назад

    Nice to learn even out of school 😊😊😊😊

  • @danizoroanimn2708
    @danizoroanimn2708 2 года назад +2

    Thank you sir!

  • @mycelestrada5817
    @mycelestrada5817 2 года назад +1

    Thank you po sir.

  • @abdisalangure616
    @abdisalangure616 2 года назад +2

    What a good teacher.

  • @sondon2692
    @sondon2692 2 года назад +1

    You make the concept look so difficult

  • @crystalloisellecasayas8952
    @crystalloisellecasayas8952 2 года назад +1

    X²+5x+6=0
    (X+6) (x-1)
    x+6=0 x-1=0

  • @deku-kun7113
    @deku-kun7113 2 года назад +5

    Grade 9 - Bernoulli
    Ma.Floritalyn Artuz
    My Answer in Number 6:
    X² + 5x + 6 = 0
    ( x + 2 ) ( x + 3 ) = 0
    x + 2 = 0 | x + 3 = 0
    x = -2 | x = -3

  • @Mysterious_username
    @Mysterious_username 2 года назад +1

    It’s easy Q6 answer is x=-3 and x=-2
    x2+5x+6=0
    (x+3)(x+2)=0
    x+3=0 , x+2=0
    x=-3 , x=-2
    This is the answer.

  • @timurmansuri5715
    @timurmansuri5715 2 года назад +9

    Great video! I have learned so much from this video.

  • @nikolikolixx
    @nikolikolixx 2 года назад +3

    THANK YOU SO MUCH TEACHER GON!!

  • @muzan1161
    @muzan1161 2 года назад +1

    Thankyou man

  • @Sean-ayoooo
    @Sean-ayoooo 2 года назад +1

    Sir ito po yung akin
    x1=-3 and x2=2
    Galing niyo po mag turo🥲

  • @ninonged4406
    @ninonged4406 2 года назад +14

    Am finding solving quadratic equations quite complicated & confusing. Need more explanation specially on why there's factoring of x & y when there's no variable y in the equation. Also, what happened to the 3 in one equation. Lastly, why & what is the reason behind doing all these? Hope you can help in a way to clear things out. Thanks!

    • @charlesigberase6070
      @charlesigberase6070 2 года назад

      @Ninong Ed. The 3 in one equation is the same as 5x3=15 , 3x=15, x=5

    • @honeyleighancheta7904
      @honeyleighancheta7904 2 года назад +1

      the x & y in there is a formula so that it will be easy for you to solve and understand the equation as you can see the square root of 49 is 7 so he will follow the formula (x +7) (x - 7) = 0 .The y in the formula is 7

    • @benjamindomingo370
      @benjamindomingo370 2 года назад

      The x & y and all the other variables represents the unknowns or the blanks in all our computations.. Example: if I buy an item for P25 and my money is P100 how much is my change? , how will my equation looks like. This is the equation: :x=P100-P25 therefore x=P75

  • @francoadriano3851
    @francoadriano3851 2 года назад +2

    Thank you sir!♥️

  • @Nomarbg
    @Nomarbg 2 года назад +1

    Na Gets ko Agad thank you.

  • @LIROxGamerPh
    @LIROxGamerPh 3 месяца назад

    5.X²+5x+6=0
    (X+3) (x+2)
    X+3=0 x+2=0
    X=-3,X=-2

  • @muabon3620
    @muabon3620 Год назад +1

    No, I think you should write that : x.x - 5.x = 0 / x ( x - 5 ) = 0 / x = 0 or x - 5 = 0 / x = 0 or x = 5 ......the problem is the way for students can learn easily.

  • @alfasanglynebasan2732
    @alfasanglynebasan2732 2 года назад

    Thanks sir 👍

  • @emmesylgallanoza7416
    @emmesylgallanoza7416 2 года назад +2

    Thank you very muchi sir👏now i understand how to solve it

  • @crypticso2127
    @crypticso2127 2 года назад +1

    Thanks for the tutorial!

  • @ChristanBitas-gs3tx
    @ChristanBitas-gs3tx 4 месяца назад

    Thank you sir your videos is so helpful ❤❤

  • @kylajoypontiga6732
    @kylajoypontiga6732 2 года назад +2

    Kyla Joy Pontiga, 9 - Bernoulli po sir 😁

  • @tilamandefro9845
    @tilamandefro9845 2 года назад +2

    X1=_6,x2=1

  • @handles_9034
    @handles_9034 4 месяца назад

    x² + 5x + 6 =0
    (x + 2) (x - 3)=0
    x + 2 =0
    x=-2
    x - 3 = 0
    x=3

  • @danielmasaya7521
    @danielmasaya7521 2 года назад +1

    Ans. for item 6. X1=3 X2=2

  • @MeiyrAzhleyDuave
    @MeiyrAzhleyDuave 4 месяца назад

    #6 assignment
    X²+5x+6=0
    (x-2)(x+3)=0
    x-2=0. x+3=0
    -3. -3
    +2. +2. x=-3
    x=2.

  • @Sanrio_fairyy
    @Sanrio_fairyy Год назад

    Thank you so much sir!!!

  • @benjamindomingo370
    @benjamindomingo370 2 года назад +1

    THis is how I solved the no.. 3 & the no..

  • @juancarlosestradaaquino6419
    @juancarlosestradaaquino6419 2 года назад +1

    Thank you po sir! Topic po namin ito bukas eh HAHAHA

  • @ranbirsingh-tu4si
    @ranbirsingh-tu4si Год назад

    Sir ji nmty sir please send sabhi video best h

  • @amnueldemeke9106
    @amnueldemeke9106 2 года назад

    Thanks you know the next class or grade 10 maths

  • @jessiecrisbagongon5557
    @jessiecrisbagongon5557 Год назад +1

    Thank you

  • @azikusiraj2080
    @azikusiraj2080 2 года назад +1

    I really love ❤ this quadratic expression

  • @CedrikArena-gw1ih
    @CedrikArena-gw1ih Год назад +1

    hi po! pwede po bang next upload nyo is tungkol sa factorial, di ko kasi ma gets yon e. Tysm!!

  • @Tomato307
    @Tomato307 Год назад

    Your videos really helped me out thank you

  • @VarneySMusa
    @VarneySMusa 2 года назад +1

    X1=3 X2=2

  • @boykulotchanneltv7693
    @boykulotchanneltv7693 2 года назад +1

    Thank yo po sir gon thank ko po

  • @aciotopia
    @aciotopia Год назад

    thank you so much sir

  • @saysaydaano2530
    @saysaydaano2530 2 года назад +1

    Sir with checking

  • @lllovie
    @lllovie 3 месяца назад

    strict teachers makes the lesson look hard
    calm teachers makes the lesson look easy

  • @angelofabianes3365
    @angelofabianes3365 2 года назад +1

    Thanks po😊😊

  • @kishanmartinez2162
    @kishanmartinez2162 2 года назад +1

    x1 = -3 x2= 2

  • @Mga_kapokwang_vlog
    @Mga_kapokwang_vlog 6 месяцев назад

    The assignment of number 6).
    X1=-3|X2=-2 hopefully we are perfect I love this because I learn how to solve quadratic equation love u sir hopefully more video and I believe

  • @Monica-707
    @Monica-707 4 месяца назад +1

    6.) X² + 5× + 6 = 0
    (× + 3) (x - 2) = 0
    ×¹ = -3 | x² = -2

  • @monique613
    @monique613 2 года назад +1

    This helps me so much its our test tomorrow thank you very much new sub😊

  • @babysofiiiii
    @babysofiiiii 3 месяца назад

    I don't like math but it's so satisfying when I understand it

  • @Vibe77Guy
    @Vibe77Guy 2 года назад +1

    Division by factored quadratics/polynomials seems to give lots of people problems.
    8in³÷2in(2in²+2in²)=?
    1?
    Or 16in⁴?

  • @remedyfaero6771
    @remedyfaero6771 Год назад +4

    Preparing myself for Grade 9, because I know Grade 9 will probably be the hardest year of highschool😢

  • @Subwayeditsxyq
    @Subwayeditsxyq 2 года назад +1

    X=-2....Y=-3

  • @ZariboyGD
    @ZariboyGD 4 месяца назад

    X²+5x+6=0
    (x + 3)(x+2)
    x+3=0|x+2=0
    xsub 1 =-3
    xsub2 =-2

  • @afafestus7753
    @afafestus7753 2 года назад +1

    Please why did you not use the 3 when solving problem three?

    • @afafestus7753
      @afafestus7753 2 года назад

      Sorry. You divided all through by 3

  • @Kemibanke
    @Kemibanke 11 месяцев назад

    The root are -3 and 2
    Thank u very much sir❤❤❤❤❤❤❤

  • @AbelHartman
    @AbelHartman 4 месяца назад

    Not this guys explaining 10x better than my own teacher 😭😭😭

  • @whllsk
    @whllsk 2 года назад +1

    SALAMAT PO!