The Discriminant | Algebra | GCSE Further Maths | A-Level Maths Series

[@TheGCSEMathsTutor]

If anyone would like to support the channel you can buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼

[@thekuba9352]

Even 4 years later and a new year starts, time for A-levels and GCSE maths tutor is here to bless me with free lessons. I truly thank you.

[@daniel4486]

GCSEs are cancelled, and I’m never doing maths again so it’s time for me to go. Good luck for the future and thank you for all the help!

[@TheGCSEMathsTutor]

Thank you so much for being part of the channel, I wish you the very best for the future, I’m glad I could be of help! 😁🙏🏼

[@quranwithayshee4098]

You saved my gcse maths, please make more A level videos, you are the best maths teacher in the universe 💖

[@II_official448]

hello sir PLEASE PLEASE DO STATISTICS AND MECHANICS FOR A LEVEL IM BEGGING YOU PLEASE FIND SOME TIME TO MAKE THEM I DONT WANT TO FAIL PLSSSSSSSS YOUR SUCH A GOOD TEACHER

[@YK-qo6uf]

Love this - taking further maths and maths for a level

[@TheGCSEMathsTutor]

Y K Amazing news! 😁🙏🏼🙏🏼

[@facts-ec4yi]

just leaving a comment for the algorithm. Very helpful video!

[@shafinbepary2000]

I never knew TGMT did A levels. I thought i would unsub after my 2022 gcse but here i am! amazing!

[@TheGCSEMathsTutor]

More to come too!! Glad to hear you are doing a-level maths 😁🙏🏼

[@spideyguyyy]

@@TheGCSEMathsTutorcould u do further maths gsce?

[@hadi7053]

Thank You, I’m taking maths for A-Level❤️

[@TheGCSEMathsTutor]

Amazing news! I’ll be doing a lot more a-level videos over the coming weeks 😁🙏🏼

[@nchitalkar178]

Okay perfect. If possible could you make a few playlists on each topic for instance: Proof Algebra Coordinate geometry... That would be really helpful as I am loving your videos and it looks so easy because of the quality of teaching. Thanks

[@TheGCSEMathsTutor]

Thank you for the kind words! I will be doing individual videos for everything but I won’t be doing AS playlists as the content isn’t as large as say the GCSE curriculum! The whole thing should only be around 40-50 videos to cover the 13 chapters 😁🙏🏼

[@nchitalkar178]

@@TheGCSEMathsTutor oh great when will the videos be available will I have to buy them...?

[@TheGCSEMathsTutor]

Science and math with Tom I’ll be making them over the course of the next term, and absolutely not the tutorials will always be free on my channel 😁🙏🏼🙏🏼

[@nchitalkar178]

@@TheGCSEMathsTutor I appreciate the hard work you are putting in for our benefit. Regards

[@Awai_quotes]

Because of you i get grade 9 in maths gcse now gonna get A* thanks for all the help😊❤

[@TheGCSEMathsTutor]

Amazing news!!! Congratulations on your grade 9 what an achievement!! Any A-Level content you’d like to see? I’ll do my best to finish that this year 😁🙏🏼

[@Awai_quotes]

@@TheGCSEMathsTutor i just want the go through videos as by topic as you did for gcse if can i would be very much grate ful of you.because i dont really understand anyone else this easily so yh😅btw thankyou very much for all the effort you put in these videos:)

[@TheGCSEMathsTutor]

@@Awai_quotes I will try my absolute best to start getting some more up! Fortunately I’ve already done a good chunk for the start of the year, half term I’ll be aiming to get a huge chunk completed hopefully! So glad to hear it’s working for you 😁🙏🏼🙏🏼

[@mohammadhosseinasadifard9973]

Thank you I didn’t understand some of it but I will rewatch hopefully I understand it even though I’m doing it next year

[@TheGCSEMathsTutor]

Mohammad Hossein Asadi Fard Great idea to rewatch it at a later date! This is something that I would spend 2-4 lessons on potentially so it would be phenomenal if you managed to fully understand every aspect in one go! Keep up the fantastic work, great preparation for next year!! 😁😱

[@TheGCSEMathsTutor]

👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - kzbin.info/www/bejne/i5quh3Wpna6CrJY

[@leila9139]

after watching your videos everything becomes perfectly clear! thank you so so much :)

[@isabdel3975]

thank u i got 9 in my GCSE

[@TheGCSEMathsTutor]

Amazing news congratulations 🥳🥳

[@GCSEALevelMaths2025]

Excellent video sir I’ve only just come across this one!! Wow!!

[@jordog3550]

@9:00 you made a typo, the first question asks to find the discriminant of an equation then state if another equation has 2 equal, distinct or no roots

[@TheGCSEMathsTutor]

Whoops! Thanks for pointing that out 😂🤦🏽 it’s been a while since I did that! I knew it was going too well to be true haha!

[@jordog3550]

@@TheGCSEMathsTutor lool its alright, thanks for the help, I feel very confident for alevel maths now

[@TheGCSEMathsTutor]

Egavas Gaming Amazing news! Plenty more to come so keep an eye out 😁🙏🏼🙏🏼

[@williamjames9466]

Excellent video - concept well explained with good example. Sadly, I found the background music distracting.

[@TheGCSEMathsTutor]

William James Great to hear! Thanks for the feedback, the background music was experimental, I have since removed it but I’ve had very mixed reviews of it, some love it and others don’t! Hopefully it didn’t have too much of a negative impact!!

[@rKaraa]

im so confued at 15:37 its says EQUAL ROOT so p can equal zero and 3 becuase if u sub those in the equation they both equal zero

[@tigress0076]

27:00 since it says real roots and not distinct real roots, shouldn’t the discriminant be > or = 0?

[@nadia5436]

yes but because it features a +8, the number will always be above 0.

[@Niko_.YouTube]

For your second example wouldn't it have 1 real root as it equals to 0? 7:15

[@TheGCSEMathsTutor]

A root is where it crosses the x-axis, you can see that it doesn’t actually cross the x-axis so therefore there are no real roots, just because you set it equal to 0 doesn’t mean there will be any solutions, you can check by trying to factories/using the quadratic formula but you will see it can’t be solved when equal to 0 😁🙏🏼🙏🏼

[@Josama0214]

​@@TheGCSEMathsTutorIt does Touch the x Axis so there is One real Zero for the function. When the discriminant is = to 0 then that means the Quadratic equation has 1 real root that's one of the rules

[@karasepicgaming9290]

I think this is GCSE aswell it was in my mocks

[@Aoife-vg1zk]

Thank you! Do you cover the whole aqua a level course?

[@epixzofficial2947]

i think the content is the same for all courses and this channel covers the entire a level course

[@Blessing_0410]

Can you pls explain 26:53, I don't understand the -1 substitute thing If you put -1 and expand wouldn't it be equal to 0 or are you not supposed to expand I'm confused on this part

[@MegaBanannaman]

Thanks TGMT. One question.@ approx 16:25, why do we use --8P to get +8P instead of 16--8P to get 24P ?

[@smkmahimakhan6341]

This is a bit late, but there are two points here: 1. a minus and a minus (two negatives) equal a positive(+). It's just a rule. Since the discriminant is b^2 - 4ac, the minus is already there, and so the negative in the discriminant with the negative in -8p with equate to a positive. 2. even if it was +8p, 16-8p would not be 24p because you have to think of the rules of BIDMAS, or BODMAS. Whatever you were taught, they mean the same thing. BIDMAS states that multiplication comes before addition or subtraction, which means you would have to multiply 8 with p FIRST and THEN add it to 16, as you are not multiplying 16 with p as well, so the p is NOT part of the 16. They are separate. Which therefore gives 16 + 8p. Hope that helped. If I made a mistake, anyone can correct me. I just in year 10 so I don't have much A-Level knowledge yet.

[@LeeLarner]

interesting how easy this becomes when you look back once your taught a level further maths because you obviously start talking about imaginary numbers of sqrts being negative and the letter i=-1 appearing

[@TheGCSEMathsTutor]

Absolutely! The further you take mathematics the easier those early stages seem! 😁🙏🏼🙏🏼

[@user-xr8hb3cy7j]

hi sir, pleade, please can you do more maths A-level revision videos they help so much!

[@tigress0076]

15:09 i thought you’re not allowed to divide by a variable because you’d be getting rid of solutions?

[@nchitalkar178]

Does the 23 videos cover most of a level pure?

[@TheGCSEMathsTutor]

Science and math with Tom They cover a large chunk of the AS Pure curriculum, there are still another 20 ish videos though to cover it completely I think! A few more stand along topics and a few more extensions to those I have already made! 😁🙏🏼

[@MissileGuidance]

Hi I'm watching this for entertainment I think I'm a nerd lol

[@dacm5079]

Yes u r 💀

[@-_Blitz_-]

No way bro 💀

[@Blessing_0410]

At 21:12 why would it be 1 and not 1k or k where did the K go when completing the square? Wait nevermind I just realized

[@S123-x5b]

Sorry, I'm confused. Is this video for both A level maths and A level Further Maths?

[@TheGCSEMathsTutor]

S 123 That’s it! 😁🙏🏼

[@tobechukwuokechukwu4693]

for the third example is p -1/3 and + 1/3

[@shafinbepary2000]

no p is just a single value which is negative 1/3 . logically it makes sense as the question says "find the value of p." **NOT** "VALUES"

[@miniakb5188]

15:45 doesn’t q=4?

[@mrhung-zyaire9662]

Thanks

[@TheGCSEMathsTutor]

Welcome! 😁🙏🏼

[@wolowizard4441]

With the first example with a = p, wouldn't that have no real roots? As it doesn't equal 0, it equals a negative number

[@dragonbreathwr9007]

can i use the disciminant at gcse instead of quadratic formula?

[@TheGCSEMathsTutor]

You could but it’s unlikely you would be asked a question that would require it 😁🙏🏼

[@TheGeniusJanUncensored]

Im so lost 😭

[@chrisobuobi6954]

hello

[@mbappaaland2138]

Sadly I beg a man pls try mad me 😡