How to solve quadratic equations (ultimate practice)

Master all techniques for solving quadratic equations with this algebra tutorial! We'll cover the factoring method, square roots, completing the square, and the quadratic formula with 24 detailed worked-out examples. The last 4 equations also feature quadratic equations with complex solutions. Note, "i" is the imaginary unit where i^2=-1 and sqrt(-1)=i. This video is perfect for algebra and precalculus students. Teachers and tutors, feel free to use this video and worksheet with your students.

#algebra #math #blackpenredpen

0:00 24 quadratic equations with only "1, 2, 3, 4"
0:31 Q1, solving a quadratic equation by factoring
4:55 Q2, by taking the square roots on both sides
9:43 Q3, expand first, then solve by factoring
14:00 Q4, completing the square
20:14 Q5, the quadratic formula
26:40 Q6
30:03 Q7
33:52 Q8
36:11 Q9
37:55 Q10
43:10 Q11
45:28 Q12
48:10 Q13
50:37 Q14
52:07 Q15, a special way to complete the square
59:00 Q16
1:00:30 Q17
1:02:55 Q18
1:06:03 Q19
1:12:49 Q20,
1:17:02 Q21, quadratic equation with complex solutions
1:20:12 Q22,
1:23:49 Q23,
1:32 44 Q24,

AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano
Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley
Gary Tugan Stephen Stofka Alex Dodge Gary Huntress Alison Hansel
Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev
Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist
Robert Sundling Stuart Wurtman Nick S William O'Corrigan Ron Jensen
Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata
Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff
Julian Moik Hiu Fung Lam Ronald Bryant Jan Řehák Robert Toltowicz
Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham
Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi
Skorj Olafsen Riley Faison Rolf Waefler Andrew Jack Ingham P Dwag Jason Kevin Davis Franco Tejero Klasseh Khornate Richard Payne Witek Mozga Brandon Smith Jan Lukas Kiermeyer Ralph Sato Kischel Nair Carsten Milkau Keith Kevelson Christoph Hipp Witness Forest Roberts Abd-alijaleel Laraki Anthony Bruent-Bessette Samuel Gronwold Tyler Bennett christopher careta Troy R Katy Lap C Niltiac, Stealer of Souls Jon Daivd R meh Tom Noa Overloop Jude Khine R3factor. Jasmine Soni L wan na Marcelo Silva Samuel N Anthony Rogers Mark Madsen Robert Da Costa Nathan Kean Timothy Raymond Gregory Henzie Lauren Danielle Nadia Rahman Evangline McDonald Yuval Blatt Zahra Parhoun Hassan Alashoor Kaakaopuupod bbaa Joash Hall Andr3w11235 Cadentato Joe Wisniewski Eric
----------------------------------------
Thank you all!

[kylianjeetmbappe]

It's always a wonderful day when blackpenredpen uploads

[dollishsilverdreams]

Ever since I have discovered this channel I have been learning so many incredibly valuable things !! Cannot put it in words how grateful I am for this and finding my fascination for mathematics to be growing and growing ♡

[armanavagyan]

PROF what i learned from THIS video is factring and compliting square thanks for that i knew only the quadratic formula before

[ArjunBhandari-fw]

i just started watching your videos and i love them, whenever my brother used to watch you i used to think who is this weird dude with a pokeball lol but honestly tysm, i have gotten to learn many new things

[elevolucionestoica]

Wow, that was an incredible lesson! Almost 100 minutes of math 🇧🇷✌️

[shivammishra]

Could you please form a playlist in which u will teach us calculus from basic to standard
The questions of quadratic are very easy for us but we get problems in calculus only so teach us calculus if possible
For that i shall be very thankful to you 😊

[mehrollahshahbakhsh]

For Q3, you can actually take the square roots of both sides and it would be quicker too. This would give you (3x-1) = 2x^(1/2), --> 3x -2x^(1/2) -1 = 0, which you can treat as a quadratic by substituting y=x^(1/2) to give y^2-2x-1=0 (I didnt take into account the other root as i would get the same anwser anyway). This can be solve to give (3y-1)(y+1), (if you had considered the other root, ie -2x^(1\2), you would have the same expression with the signs swapped in the factored form, but since you are solving for y^2, ie x, the signs swap doesnt matter as the the result would be positive regardless of sign). y^2=(1/3)^2 = 1/9 and y^2=(-1)^2 = 1

[depressivepumpkin]

good job, 76 more quadratic equations to go!

[pragasamramaswamy]

IT IS A PLEASURE TO SEE YOUR VIDEOS SIR.

[Themuslimnurse]

You are amazing keep uploading I love your math videos

[r.i.p.volodya]

I WISH WISH WISH there were videos just like this but for Physics questions....

[jabuxas]

make a video on the different completing the square method! super nice!

[armanavagyan]

I might be watching pausa with but full video no minute wasted PROF 👍🤗

[seanbastian]

Another problem that would have been good to have as a bonus would be x^4+3x^2=1. It isn't necessarily a quadratic equation but it resembles one and it uses the numbers 1, 2, 3, and 4.

[almansoorpower]

Please make complex numbers study guide.

[armanavagyan]

Thanks PROF more videos like this 10 hour better👏

[koennako]

I wish teachers would explain that the sqrt(x^2) is |x| (absolute value of x) and that is why to solve the absolute value equation, we need to put down the plus minus. Right now, it’s two mistakes that confuse students. By doing the sqrt cancel and put down the plus minus, students might make 2 wrong connections in their brain. That sqrt(x^2) is x and sqrt(4) for example is plus minus 2.

[lvfnds]

You teach very good. I want to get better at math and the more basic things are lacking a bit. 33:23 I want to do all the questions.

[strawhat]

Plz make a video on logarithmic functions

[sandeepkumar-ynhm]

Please tell me sir about board size, ❤❤the lecture