Using the Discriminant for Quadratic Equations

[tyannaqt]

AHH ! this was perfect !. Thank you so much , :)

[izumilovesyou]

すっごくわかりやすかったです！うちの学校にきてほしいです。

日本語ですいません（汗

[patrickJMT]

@izumilovesyou 私はあなたを助けることができたことをとても幸せです！私は行進­の最後に再び東京を訪問する可能性があります。あなたが私を見れ­ば挨拶！

[anbuhacker]

@patrickJMT あなたは日本語を話すかあなたはアメリカ？



[MRJber2]

Thanks :) .I understand you more than my teacher :'33

[Everyweapon]

I want you.

[eumi018]

this video is great... you really help people like me :)

im just practicing ALGEBRA right now.. Keep up the good work and upload more and teach us some techniques for us to understand the TOPIC ^^

[BlahhTemp]

what types of roots?

[jayjaybigmac]

Thank you for explaining this in a video my teacher goes to fast.

[SpEEdHackEr101]

You're HOT!!!!

[SpEEdHackEr101]

Thank you!!!

[patrickJMT]

@SpEEdHackEr101 no problem : )

[madjohnny92]

@patrickJMT living in hk right now, and you made more sense than my chinese math teacher. thanks

[rushhour2397]

I like ur handwriting lol

[kristofeh]

surely if b^2 -4ac = 0 you get a repeated root, ie 2 roots of the same value

[dajakesta1234]

you saved me 2000$

[patrickJMT]

@dajakesta1234 great! now you can send $100 donation to me : )

[dajakesta1234]

@patrickJMT im not old enough to have my own bank acc

[patrickJMT]

@dajakesta1234 then it probably was not your $2000 : )

[MathLogicals]

@patrickJMT i am taking kumon now im 10 and i reached L . do you have videos about simple calculus?

[RawrrShadd]

I. LOVE. YOU. 

[4Mikz]

What happens if its positive? What will.be my solution?

[4Mikz]

Sooo thats it? That's the answer?

[4Mikz]

What happens after that?

[gpak47]

can u make videos on these. carry out the process of completing the square for a quadratic polynomial ax 2 + bx + c, and use this form, e.g. to locate the vertex of the graph of y = ax 2 + bx + c or to sketch the graph; • find the discriminant of a quadratic polynomial ax 2 + bx + c and use the discriminant, e.g. to determine the number of real roots of the equation ax 2 + bx + c = 0; • solve quadratic equations, and linear and quadratic inequalities, in one unknown;

[Funnygrlhahaisme]

You helped me with my algebra final :) thanks

[AlexanderMathura09]

hey for a function Fg(x)=x has two equal roots, what discriminant do you use and why??

[whyrito233]

What if it's even. Wouldn't u do D/4=b/2^2- 4ac.

[bergaflickal]

wellgot this type of question wrong today

[qwasly]

determine all the all the zeros of the fifth degree equation x^5-3x^4-5x^3+15x^2+4x-12

how can i solve it?/

thnx.

[Rowan9789]

Thanks alot , really great explanation and discription..

[razzlejazzle26]

Thanks, this helped me.

[spass12894]

lets say my equatinos is

y = 2 x Squared + p x + 8.

how do I work out what p is?

[htank20]

Find the set of values of K for which the equation

2x^2 + kx + 2 = 0 has no real roots

AND

find the range of values of K for which the equation x^2 + 5x + k=0 has one or more real roots.

How do i tackle these types of question where it's not as straight foward as substituting the discriminant part of the equation?

[ermitz90]

Hi Sir, err...may I know how these discriminants related to conic sections? I mean like hyperbola... thanks Sir.

[joethn]

then why do we use the -b+divide b2-4ac/2a

where do use 2a?

[sweentnhot0104]

@joethn -b over 2a is the axis of symmetry of the quadratic graph.

[mubbu100]

I am unable to solve a question..

it goes this way..

2(x squared) +kx + 3=0

pls link me to the video in which u have solved it if possible......thnx in advance

[sweentnhot0104]

@mubbu100 you use the b^2-4ac = 0, meaning that there would be only one real solution. Plug in 2 for a, K for b, and 3 for c. Then you'll notice that k^2 - 24 = 0. solve the equation, k^2 = 24; and k = plus or minus square root of 24.

[Azshauyia]

Thanks for uploading this video help me on my homework that my teacher didn't cover in class.

[sylviakon]

Thank you so much. It's so easy to understand the purpose of D thru your video. Well done!

[Roweign143]

oh, its you again. LOL i just watched your other tutorial about quad eq (completing the square) and i really understood it more. thanks!!! =)

[CutieJulie15]

For the no real soulutions woud it also consider be 2 imaginary solutions?

[patrickJMT]

@CutieJulie15 yep, that is correct.

[Ankerstein69]

@CutieJulie15 Yes immaginary numbers can consist for ones with no solutions

[Supreme8686]

Thank you very much! You have some very lucky students.

[yop09876]

ur a good teacher!! i have an exam tommorow and im watching all ur videos to remind me of everything

[xXxDEMANJENIYAxXx]

thank you very much that really helped. i have a pre public tomorrow and i hope i pass!!!!

[immakingthis]

thanks for the vid still dnt get it but thanks

[majormuss]

super nice!!

[sportsboy4]

nice videos :) all very helpful. and ure numbers are very neat btw :P good job. what grade do you teach?

[xxxcoffee328xxx]

Hi i am a 10th grader i wanted to say thaank you. You made this simple for me to understand this. It would be awsome to have you as a teacher : )

[ayooty93]

if it says it has equal roots does that mean 1 solution ???

can u plz answer me ........

[MiSTAAAHMEK]

@ayooty93 yes

[mhm776]

It means it has two solutions which are the same. It´s a repeated root

[MiiszUniquexX]

thank u ur a life saver.... can really explain how right now in a hurry to get this on paper

[alto141]

I couldn't help but noticing but when you substituted b^2 for -2 it simplified to 4. Why 4 ? shouldn't b^2 simplify to -4?

[sifs4]

nope when you have brackets on it, it becomes positive. If he omitted the brackets, then you'd be right. He was right to keep the brackets.

[sifs4]

and by the way, to explain futher, the REASON for that is because -2*-2 = positive 4 whereas if there is no bracket it means 2 x 2 x -1

[XISafeIX]

i dunno why i didnt think to look for help with maths on here before - this has been a great help, thanks =D

[BrineF15]

Nice job.just could you should a isqrt equation sometime.or a square root the doesn't have a whol number.I have used your vids for everything know and grades have moved from ds to as on quizzes

[3Vanessa3love]

your voice turns me on dannnngggg

[FyUoCuK0000]

ew..

[3Vanessa3love]

you have a cute hand ;))))

[wafernoel123]

I'm from colombia, I don't speak english very well, but this explantion is perfect....thanks a lot.

[Andy3487]

What are you talking about?

[patrickJMT]

tests they take in england i think

[boarder206]

my teacher went over this for like a week and i didnt know what she was talking about and i watch this video for like seven minutes and i understand....YOUR AWESOME

[crem2news]

THANK YOU!

[vithanywendys]

i wish u were my teacher

[patrickJMT]

move to austin

[kaneisbeastly]

@patrickJMT Texas or austin minnesota?

[patrickJMT]

@kaneisbeastly texas

[Tunkas1]

@patrickJMT Autsin lives down the block? He goes to the same School District so i dont get really what you mean by that . . .

[QaTaR0Gas]

yea thinX ..now i can explaine for my class tommorwo

[herblady28]

Thanks! You explained it very easily to me.

[JordanRuffles]

do you teach grade 11 math too?

[patrickJMT]

no, no high school for me!

[Andy3487]

What do you mean? This is ninth grade math that you are doing right here!

[NVKevin]

well then it helps 9th graders doesnt it?

[sifs4]

10th graders! :p

[adridram77]

if i would have found your videos at the beginning of the semester i would have done sooooooo well. now ill just do really well in the exam

[WantSalsa]

cheers dude. that sorts out question 10 on this past paper im doing. im sure ill remember this stuff now. also if i have a question on this sort of maths would you be able to do a video on how to work it out because my teachers at school arnt all that good.

[XstaphyX]

:D

yay math videos! haha

hey i was wondering if you had any videos about imaginary numbers? like when the discriminant is a negitive number. we were learning about in class and i was at a total loss haha. i looked for it, but couldn't find one :/

[Nickidewbear]

I've seen the videos that he has for normal quadratic equations, and you'll find soultions that are like "x = (+/-)(1 (+/-) √-15) / 4".

[mytinypaperheartxo]

thank you so much! i have a test coming up and i have no idea what my teacher was talking about. it makes so much more sense now!

[edwebo]

Thank goodness for youdude. Got a maths exam on Monday and I was freaking out cos I never understood this ay. But now I do. SWEET!

[patrickJMT]

perfect! good luck on the exam!

[TheGreenDuck3000]

yaaay i understand..... im going to sub great vids

[uz4ir12345]

just done this today in lecture !!!

[loveloreal]

i was going to say "o my gosh thank you" but someone else has already said it. so ditto! i am in my first year of college and takin precal. i forgot all about this. thanx for posting it. you explained it really well. great job

[petercourt]

Great videos, thanks for them! They'll be very useful during my A-Level course :)

[patrickJMT]

happy to help!

[x0dina]

oh my gosh-

Yay for this video

Thanks.

[patrickJMT]

yea! it was made just for you : )