Example 4: Applying the quadratic formula | Quadratic equations | Algebra I | Khan Academy

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  • เผยแพร่เมื่อ 6 ก.ย. 2024
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    Application Problem with Quadratic Formula
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ความคิดเห็น • 143

  • @EmmysCoolVids123
    @EmmysCoolVids123 7 ปีที่แล้ว +292

    I have a test tomorrow I still don't get any of this

  • @bawbee2389
    @bawbee2389 4 ปีที่แล้ว +124

    Me in quarantine: laughs in Photomath

    • @tylersakul2633
      @tylersakul2633 4 ปีที่แล้ว +5

      ROZELLE photomath works for this?

    • @gallaghergirl427
      @gallaghergirl427 4 ปีที่แล้ว +6

      @@tylersakul2633 if you take a picture of the formula then yeah...

    • @glasslicker2829
      @glasslicker2829 3 ปีที่แล้ว +2

      Casuals

    • @anubhavbehera3721
      @anubhavbehera3721 3 ปีที่แล้ว +2

      Lmao yes

    • @yaboiyammsta2721
      @yaboiyammsta2721 ปีที่แล้ว

      HAHAHAHAAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHAHAHAHHAHAHHAHAHAHHAHAHAHAHAHHAHAHAHAHAHAHAHAHAHHAHAHAHAHHAHAHAHAHAHAHAHAHHAHHAHAHAHHAHAHAHHAHAHAHHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAHAH

  • @davidchillton1744
    @davidchillton1744 7 ปีที่แล้ว +144

    When are you ever going to use this in real life ? Unless it's for your job.

    • @tylerkihut8328
      @tylerkihut8328 4 ปีที่แล้ว +9

      Baseball

    • @vibewithfav
      @vibewithfav 4 ปีที่แล้ว +1

      David Chillton frr

    • @time_lightsout_1186
      @time_lightsout_1186 3 ปีที่แล้ว +9

      Business applications it's the same concept from same formula.

    • @kkboligor7409
      @kkboligor7409 3 ปีที่แล้ว +5

      i kinda believe we should focus more on this than others because like its basic physics but this isn't explained as well and as much

    • @malachinicks4257
      @malachinicks4257 3 ปีที่แล้ว +9

      Shut up and learn

  • @clashofclansdogdowlers4111
    @clashofclansdogdowlers4111 6 ปีที่แล้ว +17

    can you make more application word problems? using that formula?

  • @likwah
    @likwah 4 ปีที่แล้ว +24

    My teacher apparently estimates each week's assignments to be 1.5-2 hours a week. They literally take 3-5 if you actually try hard enough. Actually even more

    • @takeoutant9839
      @takeoutant9839 11 หลายเดือนก่อน

      That sounds frustrating

  • @sagestopmotions5151
    @sagestopmotions5151 2 ปีที่แล้ว +11

    Thanks SOO much!! This was SO helpful for studying!

  • @PatrickCraig-lh5is
    @PatrickCraig-lh5is 9 หลายเดือนก่อน +4

    I noticed a lot of people asking where the -16 comes from. This particular variation of the quadratic is a _physics_ formula, h(t) = -1/2 * g * t^2 + v0 * t + h0, where h(t) is height as a function of time, g is the acceleration due to gravity on Earth (9.8 m/s^2 or 32 ft/s^2), v0 (pronounced "vee naught") is the initial upward velocity in feet per second, and h0 (pronounced "aych naught") is the initial height of the projectile above the ground. 32 * (-1/2) yields -16, which becomes the coefficient for the t^2 term. And yes, if you're on Earth (and using English units instead of metric), -16 will _always_ be the coefficient of that first term. I hope this helps for future viewers.

  • @julietacortese8373
    @julietacortese8373 2 ปีที่แล้ว +4

    isn't it faster to use the d= r.t formula? (distance = range(speed).time) We are given distance 50 and speed 20 ft/s, so it's 50=20t, now we just flip it to 50/20 = t and simplifying it its 5/2

  • @moki2003
    @moki2003 6 ปีที่แล้ว +4

    Why is positive 4 it should be negative right if you multiply -8 times -25 the product is 200 times negative 4
    The quadratic b2-4(a)(c)

  • @maracas3894
    @maracas3894 3 ปีที่แล้ว +2

    Where did the 16t² come from?

    • @sohambagad8202
      @sohambagad8202 ปีที่แล้ว

      It was in the equation given in the problem

  • @bobboberts3651
    @bobboberts3651 3 ปีที่แล้ว +7

    khan academy pulling through rn 🙏

  • @godlybunniarts8549
    @godlybunniarts8549 4 ปีที่แล้ว +9

    stop reading comments and study

  • @ecaj400
    @ecaj400 3 ปีที่แล้ว +6

    What if you get positive answers for both x-intercepts? Then which one do I have to choose as an answer?

  • @khalidnassar2172
    @khalidnassar2172 9 ปีที่แล้ว +11

    You saved ma life

  • @ry6234
    @ry6234 2 ปีที่แล้ว +6

    Kahn Academy. You have caused me so much pain and suffering in the math department. 😭

  • @MidnaTriforce
    @MidnaTriforce 11 ปีที่แล้ว +11

    im confused on how to this when your discriminant is negative though -____-

    • @breewelchh
      @breewelchh 3 ปีที่แล้ว +1

      the square root of -1 is i

  • @javierrod1987
    @javierrod1987 4 ปีที่แล้ว +1

    How would this work if solving for an percentage and a specific year equation?

  • @BobBob-uv9fq
    @BobBob-uv9fq 2 ปีที่แล้ว +4

    Really useful ,more example like this would be great

  • @soonerfan0161
    @soonerfan0161 3 ปีที่แล้ว +1

    Where does the -16 come from?

  • @wyatthollingshead1216
    @wyatthollingshead1216 8 ปีที่แล้ว +19

    SLOW DOWN

  • @chocolateshmurda5818
    @chocolateshmurda5818 7 ปีที่แล้ว +4

    I had to finish a take home assessment and this helped a lot man, thanks. I fucking hate algebra

    • @chocolateshmurda5818
      @chocolateshmurda5818 7 ปีที่แล้ว +3

      and for all y'all who saying "slow down" it's called pause the video and work your problem slowly, genius

    • @larryreddell2974
      @larryreddell2974 2 ปีที่แล้ว

      Simply "I hate algebra" would have worked better.

  • @TheJatt50b
    @TheJatt50b 9 ปีที่แล้ว +7

    Khan academy i love you

  • @BobBob-uv9fq
    @BobBob-uv9fq 2 ปีที่แล้ว +1

    It really is very easy when one knows the system

  • @blessysagmit8093
    @blessysagmit8093 4 ปีที่แล้ว +4

    Me rn;
    How you like that?
    Guys! Can you teach me how to solve this lesson? Huhu

  • @carrevenger31
    @carrevenger31 6 หลายเดือนก่อน

    Why didn’t you use the simplified equation when confirming that h is zero at the end? Is it not allowed or something?

  • @dirkfield
    @dirkfield 12 ปีที่แล้ว +2

    is he writing on the computer or on a pen to computer image software?

  • @larryreddell2974
    @larryreddell2974 2 ปีที่แล้ว +1

    The equation is easy to follow, However - It would be nice to know where the -16t squared comes from. -16xsquared must be a standard but this problem doesn't explain where one can find such a (seemingly) constant value to plug into the equation. Is there a list or table somewhere with such information?

  • @notonlyy0urs518
    @notonlyy0urs518 3 ปีที่แล้ว

    Why would it had to divide them by negative 2? Why??

  • @clythx
    @clythx 3 ปีที่แล้ว +1

    I am wondering of the first term's origin, where does -16t^2 comes from?

  • @hddevani
    @hddevani 8 ปีที่แล้ว +3

    but ; maths does not give waste answer...; then what does that (-5/4) mean???

    • @Eggsec
      @Eggsec 8 ปีที่แล้ว +1

      means the ball started has dark matter, neg velocity

    • @Eggsec
      @Eggsec 8 ปีที่แล้ว +1

      then; kinematics must be apply!

    • @tylercheek3652
      @tylercheek3652 5 ปีที่แล้ว

      It means you can't simplify any more

  • @progone149
    @progone149 7 ปีที่แล้ว +1

    Where did you get the 16t2?

  • @alfredoavila3706
    @alfredoavila3706 5 ปีที่แล้ว

    is the way that you did it longer?
    because i automatically just applied the quadratic formula and still got the correct answer but quicker

  • @nolapreema4682
    @nolapreema4682 4 ปีที่แล้ว +1

    I have one question, Where did you get 16t?

    • @time_lightsout_1186
      @time_lightsout_1186 3 ปีที่แล้ว

      Gravity is 32ft per sec ² and the equation you originate the formula from is -1/2 of that so -16x²

    • @mackenziecolebrook7223
      @mackenziecolebrook7223 3 ปีที่แล้ว

      Does that apply to all equations?

  • @MultiPG23
    @MultiPG23 11 ปีที่แล้ว +1

    I have a problem solving this word problem: A square lawn is surrounded by a concrete walkway that is 2.0 m wide. If the area of the walkway equals the area of the lawn, what are the dimensions of the lawn? express the dimensions to the nearest tenth of a meter.
    I have tried many times modelling the problem but always get stuck, can u please help. Thanks

  • @kooroshtg4419
    @kooroshtg4419 7 ปีที่แล้ว +3

    You didn't have to use the quadratic formula, as -5 and 5 multiply into 25 and 4 and 2 multiply into 8 and the sum of their product gives you -10, so you might as well write 0= (4x-5)(2x+5) and solve for the x values by setting them to 0 individually.

    • @haani4745
      @haani4745 5 ปีที่แล้ว

      Can u please explain me why did he divide the equation by 2 at first?

    • @kowboi6451
      @kowboi6451 11 หลายเดือนก่อน

      3 years late but he did that just to simplify the function! It's not necessary, but it makes your values easier to work with
      @@haani4745

  • @CloudLucisCaelumCXV
    @CloudLucisCaelumCXV 4 ปีที่แล้ว +1

    Whawha....?

  • @clashofclansdogdowlers4111
    @clashofclansdogdowlers4111 6 ปีที่แล้ว

    thanks for the help

  • @autumnsimlerthepinkninja251
    @autumnsimlerthepinkninja251 6 ปีที่แล้ว

    this is helpful

  • @sparkles163
    @sparkles163 7 ปีที่แล้ว +2

    This didn't have me cause ya writing on a black board and I can't see it good

  • @alinaparker1937
    @alinaparker1937 3 ปีที่แล้ว

    where did the negative 16 come from

  • @tylercheek3652
    @tylercheek3652 5 ปีที่แล้ว +4

    Ok it's all good until you changed the equation by multiplying 2. I don't get it.

    • @haani4745
      @haani4745 5 ปีที่แล้ว

      Yeah even I don't get that

    • @cameron6031
      @cameron6031 4 ปีที่แล้ว +2

      He factored the equation

  • @ismailbranko1729
    @ismailbranko1729 6 หลายเดือนก่อน

    I got test tommow, but I don't get it.

  • @punyan775
    @punyan775 5 ปีที่แล้ว +2

    Can you solve this without simplifying? I got 60/-32 which = -1.875

  • @engr.tonystark3504
    @engr.tonystark3504 ปีที่แล้ว

    Hmmm...I'm in AP Physics C, this is a kinematics problem.

  • @theophonchana5025
    @theophonchana5025 2 ปีที่แล้ว

    b^(2) - 4ac = 900

  • @eliehmaeriejulao1830
    @eliehmaeriejulao1830 5 ปีที่แล้ว +1

    San nyu po nakuha ang 16?

  • @catherynespinosa444
    @catherynespinosa444 3 ปีที่แล้ว

    Where he get -16 from

  • @c.wr.w9761
    @c.wr.w9761 7 ปีที่แล้ว

    What about solving for height

    • @chrystalreed456
      @chrystalreed456 6 ปีที่แล้ว

      C.W R.W height becomes the h in y=a(x-h)+k which is also called the vertex form

    • @chrystalreed456
      @chrystalreed456 6 ปีที่แล้ว

      The maximum height rather

  • @fkf055
    @fkf055 9 ปีที่แล้ว

    Bruhhhhhh your amazing

  • @JD-ez8fg
    @JD-ez8fg 6 ปีที่แล้ว

    Why u use the square root

  • @chadyes347
    @chadyes347 4 ปีที่แล้ว

    Why divided by -2? 1:30

    • @moodafan123
      @moodafan123 4 ปีที่แล้ว

      To simplify the equation, doing that would make it easier to solve. If you don't simplify you'll get the same answer but it would just be harder. He did -2 because they're divisible by that number.

    • @notonlyy0urs518
      @notonlyy0urs518 3 ปีที่แล้ว

      @@moodafan123 but why negative 2 ? neither positive 2?

  • @Eggsec
    @Eggsec 8 ปีที่แล้ว

    the answer has to be neg, you could already tell by the beginning of the prob, "A ball is shot into the air" by that the ball already the ball has some sort of the velocity when it reaches the edge of the building. now keep on mind they want to know how long it takes to hit the ground. well thats where the neg answer comes from bc it already trav at a x speed.
    to find a pos answer we first have to know at force/speed it was thrown up in the air. now the force its tricky bc depending on the force the ball could of travel upwards reaching x altitude, picked up x speed downward, and this is not taking in consideration the weight of the ball and so on blah blah.

    • @Eggsec
      @Eggsec 8 ปีที่แล้ว

      it said, it initial velocity is 20ft per sec, this is the velocity when it met at the edge of the building. the problem should of had started like, a ball is drop from the edge of the building....

    • @jakedickens4771
      @jakedickens4771 7 ปีที่แล้ว

      Let me know when you can go back in time, and then ill believe you.

    • @ravegames1003
      @ravegames1003 4 ปีที่แล้ว

      this one dude with that huuuge explanation

  • @madelein3167
    @madelein3167 6 ปีที่แล้ว

    wait, i don't get why you divided it all by two?

    • @pump.queenz
      @pump.queenz 4 ปีที่แล้ว

      You can just factor out a -1 to make it positive he did the most

  • @noelletreloar6064
    @noelletreloar6064 2 ปีที่แล้ว

    i love you

  • @eldonallen497
    @eldonallen497 3 ปีที่แล้ว

    Sir, can I use the bathroom?

  • @julietgalido9979
    @julietgalido9979 3 ปีที่แล้ว

    Can someone tell me where -16 came from? :

  • @jacob3800
    @jacob3800 11 ปีที่แล้ว

    He's never claimed to be Muslim. Just because his name looks Bengali doesn't mean he's Muslim.

  • @humanvoice369
    @humanvoice369 2 ปีที่แล้ว +1

    why would someone want to calculate something like this? why are these problems always like you are solving for the heck of it. how boring.

  • @Norman_Lazarevich
    @Norman_Lazarevich 5 ปีที่แล้ว

    Someone help me...the question I'm trying to answer just give me the equation and no other.Any Idea?

  • @sachin1q
    @sachin1q 13 ปีที่แล้ว +3

    FUCK YEA!!
    FIRST COMMENT!!!

  • @muhammadbilalbilal170
    @muhammadbilalbilal170 2 ปีที่แล้ว

    -16 t kha sy a gya smJ nhi aya😮

  • @autumnsimlerthepinkninja251
    @autumnsimlerthepinkninja251 6 ปีที่แล้ว

    *coughs* the heck

  • @devil_editz128
    @devil_editz128 2 ปีที่แล้ว +1

    Bhai ye banda dusro ka vedio copy paste karta hai

  • @pump.queenz
    @pump.queenz 4 ปีที่แล้ว

    Bruh you don’t have to simplify

  • @almarubii
    @almarubii ปีที่แล้ว +1

    im failing bruh

    • @Ohsulii
      @Ohsulii ปีที่แล้ว +1

      SAME IDK WHAT TO DO UGHHH

    • @Whyareulookingherelol
      @Whyareulookingherelol 11 หลายเดือนก่อน

      Wi juytre loke truhb

  • @user-zo3ph3xs1u
    @user-zo3ph3xs1u 3 หลายเดือนก่อน

    Who is here 2024 😂

  • @susantparida8369
    @susantparida8369 4 ปีที่แล้ว

    You can just divide 50 by 20. Duh.

  • @Aesieda
    @Aesieda 11 ปีที่แล้ว

    Good job my Muslim brother!
    You should do some Islamic lessons and people will actually listen to you because of your wide knowledge!