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Factoring vs Completing the Square vs Quadratic Formula
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- Äas pĆidĂĄn 15. 08. 2024
- đIn this video we will discuss the differences between solving a quadratic equation using factoring, quadratic formula and completing the square. When is one method preferred over another and how to use them to solve a quadratic equation
Timestamps:
0:00 Intro
0:50 Example #1 Factoring
2:42 Example #2 Completing the Square
6:15 Example #3 Quadratic Formula
9:35 Recap
Corrections:
5:01 The answer for 100 minus 77 should be 23, not 33.
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#quadraticequation #Brianmclogan #Onlinemathhelp
Thanks!
thank you so much Melissa!!
đ
i dont care if ive never met this guy in person before hes still the best teacher ive ever had
Now you probably haven't met your real teachers in person either lol
honestly tho, i love my math teacher but i learn better in 4 minutes here than within the whole week
@@brenwilliams03 fr
Absolutely best math guy I have ever seen in my life
WOAH NO WAY! I have a test on this tomorrow!!! You really posted on the right time. Godsend
Awesome! Best of luck
No shit- me too.. crazy
@@brianmclogan why trig is hard I want to kill myself
@@masternobody1896 đ
I have one in 10 minutes...
Awesome video again! Just a correction on the second question -- it is 23 not 33 :)
I was just about to comment this cause it kept distracting me when he didnât notice it
@@ninjapanda0822 same
I just took my pre-calc final in my first semester, and thanks to your videos, I got 92% on the final exam. Your lessons are incredibly clear, engaging, and never fail to get the point across in the simplest yet most descriptive manner. I'll indefinitely be in your debt for helping me make it through this class and I hope that your lessons will come in help in calc next semester.
Yes!! Happy to help
@@brianmclogan init yeah
iâve never actually figured out how to do the completing the square method but this finally helped me learn how to do it now luckily. good video
5:00 It becomes 23 but basically the same throughout this equation
Thank you from the bottom of my heart. You ave helped through the more than you will ever know! See you tomorrow. I love you.
this is exactly what I've been struggling with. I failed my algebra test due to not comprehending which method to use at the right time. I feel pretty confident with it now. THANK YOU
GURL i have my algebra exit test tomorrow in 8th grade RN
thank you! my exams are next week and i badly needed this!
you got this, best of luck!
Is my calculation wrong or 100-77 is 33 cause for me its 23
Thinking the same, maby im missing something
it is just a mistake, you are correct 100 - 77 = 23
@@matawie you are not missing anything, it was a mistake
So for the completing the square it is actually 23 not 33 because 100-77 is 23 but I totally understand how you could get that wrong. I actually saw a meme that was like: âSociety is 77+33=100â and it was like a futuristic picture. Just for anyone confused about that. đđ
âSociety if 77+33=100â
âFuturistic cityâ
@@liutprando7674 NO WAY!!! you found the meme, thx dude
Today I learned: 100 - 33 = 77 Best math teacher ever.
Ayo, 100-77 isnt 33?
No it will be 110 100-33= 23
all of this learned in 10 mins.... which is absolutely awesome. I'm taking a pre calc course at a Junior college and it is so hard to understand there old ass MyMathLab videos that are older than my grandmother... Keep up the good work and I've definitely subscribed.
Every algebra/calc class should start out with this explanation, It would help students out immensely.
Love the explanation when it's too challenging for me to solve right off the top I would go with the quadratic formula. Thank you soooo much for making this video. AWESOME INSTRUCTOR!
I just watched your video on slop intercepts, I have been learning it for two weeks and have 4 assignments due before my quiz tomorrow and I had no idea. Your vid helped me a lot thanks
my professor in college doesn't do lectures so I'm generally left to my own ability to try and figure things out, i have been trying to understand quadratics for 2 weeks for my test tomorrow and this has helped me so much. thank you, this is the first time i have ever had and felt any form of clarity for quadratics! thank you so much!
You really are one of the best math teachers ive ever had ! ive forgotten math from 10 yrs ago and re-jogging my memory to tutor someone. You make it so easy to understand and remember all the rules/techniques. All your videos are online and recorded which makes me really question why it is so hard for HS teachers to do remote learning during covid. If you can do it on youtube why cant they do it on zoom? Now the kids refusing to pay attention...that happens in an in-person class too and theres nothing you can do.
I wish i found your videos years ago. I am retaking college Algebra and i have my unit one exam tomorrow. My professor os great, but your video's are an added bounus to help me. I am also going back to the basics to fine tune my factoring because i struggle with the basics at times.
You dont know how much you have helped me and how much your going to help me the rest of they year, thank you so much hope you and your family stay safe happy holidays
Thanks! My midterm has this next week!
Good luck!!
Thank you so much Mr. Brogan! We are homeschooling and sometimes Saxon math doesnât explain WHY you need to do something! But you did and I appreciate it!!
Am i the only one who notice that 100 - 77 is supposed to be 23 and not 33?
Yes! Itâs driving me crazy!!! I canât believe itâs not half of the comments.
I'm a freshman taking Algebra 1 right now, and I have a 8 question quiz today, and I watched your video, and I love it! It is so simple to understand and straight to the point, and I would rather do factoring first, just because it is way more simple to understand đ . However, I love your videos and they really help, so thank you for the help!! You're a really big inspiration for my math career in the future đ.
Stuggled which methods to use. Your explanations are clear and understanding. Thank you!!!
damn this really helped you posted this on time for my test tomorrow you came in clutch THANK YOU!!!
I really admire this man as a teacher heâs so great! My personal fav is completing the square..just wanna share that
You are the only thing keeping me from failing my algebra class right now... why couldn't I just get geometry again ;-;
Not for nothin 100-77=23 so that final answer is x+-10 square root 23 (second equation) still Iâm grateful for the way you break things down. Canât be perfect all the time. From content creator to content creator I recommend re-watching your videos before posting
Thank you, I was in tears
From india đźđł, loved your explanation.
This guy is the goat foreal
He simplified everything in
Very helpful đ So now I can say that I became good to complete the square đ Love from India.
Thank you sir!
Yes!!
Damn, need that good refresher! Thank you!
sir Brian I wish ur my teacher I always learn fast on you đđ
Thank you so much for this video I have a test soon and I just needed the concepts to push in my head !
Bro taught this better in 10 mins than my teacher did in a whole week
this is great. I've been trying to figure the reason for these out all semester.
Brian u are a life saver
Nice!
Is it ok to use the quadratic formula instead of factoring and completing the square even if its easier?cuz the only 1 i know is the quadratic formula...
Okay, there is this tiny error with 100 minus 33 ...
But it is still a very good overview of how to use the different methods of how to solve quadratic equatons !!!
Thank you mathematical Mr. Clean
Very well explained
Thank you for the math information Mr. McLogan, but I have a question, do you have a proper sprinkler system installed in your school? If not, follow up question, are you near a forest? If not, it's ok if you don't. Just remember. Only you can prevent forest fires.
This video saving lives...
Great video thanks!
awesome video 5:00 its 23
There is also another silly way of solving quadratics.
The discriminant method
xÂČ -x -2 = 0
x = 1 ± sqrt[(-1)ÂČ - 4(1)(-2)]/2(1)
x = 1 ± sqrt(9)/2
x = 1 ± 3/2
x = 1 + 3/2 = 2
x = 1 - 3/2 = -1
And now we can ofcourse factor it and flip the signs
for the answers.
(x + 1)(x - 2) = 0
x = -1
x = 2
This is basically brute forcing the quadratic formula to produce factors but it is useful when you only have to find factors of hard quadratics.
Solving using factoring
xÂČ - x + 2 = 0
(x + 1)(x - 2) = 0
x = -1
x = 2
Using completing the square
Don' t use it for this example the results might get a bit fractional.
beautiful , well explained
Was looking for this. Thanks!
Yes!
This is so good for kindergarteners! liked and subbed, mister!!!
5:00 23, not 33
You save me always thank you
Brian, if you are unable to FOIL the quadratic equations (numbers are too high), would it be best to use the Quadratic Formula?
Solving quadratic formulas is the hardest topic for me.
can somebody help me with that: A farmer sold 500 oranges, the big at 40 cents and the small at 25 cents each. The money he received from the sale of the big ones was $70 more than what he made from the small ones. Calculate how many big oranges the farmer sold.
i know how to solve them but writing it in word can sometimes be difficult for me
Post in my discord
THANK YOU MAN! đđđ
If it can be factored always do that as your first step, if there is no coefficient on the squared term and the middle term is even completing square, the rest would use quadratic formula for me but others may like different things
I just took a test and u gave me an answer lol thx (I won't tell the teacher)
that is awesome
Why don't all of the techniques give the same answer? As in, if I factor a trinomial, but want to check and see if I did it correctly by using the Quadratic Equation, why do I get different root values? For some reason, the signs reverse and I don't understand it.
Supposed to get same answer no matter which way you solve it.. for his 3rd example, I had the same issue.. I actually did completing the square and used the vertex form to solve for x.. what I got was x= 5/2 +- sqrt(11/4).. don't know where I went wrong
I'll like to use completing the squares normally as I'm doing it for a long time but factoring is also a good option
PLZ do the Completing the Square for the last example of Quadratic Formula
I love the factoring method.
Also, from my experience in high school, I first learned about the quadratic formula in Geometry.
This really helped! Thx!
Square root is the basic one. formula comes from it and make it easy for people to use ( no need to step by step ). factoring comes from square root, too. we can say we make square root first and move the roots to the other side to make factors(=0)
If the quadratic equation is not factorable, the leading coefficient is one and the second coefficient is even, then I complete the square. If it's not factorable, the leading coefficient is one and the second coefficient is odd, then I use the quadratic formula.
x=[-b屉(b^2-4ac)]/2a
I am with you, I decided to not got that detailed into it but with you
please do one with simultaneous equations. whether its substitution, multiplication etc
Which grade does the students start learning this?
Ammm hiii have a question how do you solve this one (xÂČ-8x+k) sqm
hey shawty
i need help with 2(a - 8) _> -2a
(pretend the _> are on top of eachother).
BTW, (100 - 77) is 23, not 33
Algebra test tomorrow revising at the last moment GOD I BADLY NEED TO PASS
100 minus 77 is NOT 33, its 23
My favorite technique is Factoring.
Isn't 100-77= 23 instead of 33 that you wrote.
I think using the quadratic formula is much easier and safer too use then just trying to factor out in your head.
I LOVE U JFJDJ$JFDJFKEFKEFJ U HAVE BEEN HELPING ME SINCE ALGEBRA 1 AND NOW IM IN ALGEBRA 2
U R my legend thank you so much
cts method was tough until now
77+33=100 ahahaha no way he got caught in it XD, good video tho, helpful
2x^(2) - 5x - 7 = 0
x = (5 + sqrt (-31)) Ă· 4
x = error
b^(2) - 4ac = -31
#QuadraticEquation #factoring #factor
What grade level math is this?
9x^2+9xâ10=0? this equation had me scratchin my head.
I wish you worked at my daughter's school!
#trinomial #polynomial
Really posted this the day after my exam on this :(
ohhh no, sorry
@@brianmclogan that;'s all right though your older videos have helped me loads :D
Factoring
-x^2-3x+4=0
x^2+3x-4=0
(x+4)(x-1)=0
x+4=0
x=-4
x-1=0
x=1
When possible, factoring is cool, but I prefer using the Singaporean method. It's easier for me to see that way. I also like Completing The Square, but when I do it, I use an area model. When the middle term is odd, I often multiply the whole equation by something first, so I won't have to deal with fractions. This approach is what Dr. James Tanton calls the Quadrus method. The Quadratic Formula is my least favorite. I find all the reduction annoying.
It's so much easier to not factor out the negative - (For the first problem) Just Factor
I think heâs wrong on the second one because he put 33 when he subtracts 100 - 77 and that should be 23 .
the third equation has no solutions because the discriminate is negative
D=25-56=-29
Within real numbers, the square root of a negative number cannot be extracted
YOUR INVITED TO MY GRADUATION
Why did you get 100 - 77 = 33?