Quadratic Simultaneous Equations | Grade 9 Maths Series | GCSE Maths Tutor
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- Опубликовано: 18 сен 2024
- A video revising the techniques and strategies for solving quadratic simultaneous equations including the quadratic formula. (Higher Only).
This video is part of the Algebra module in GCSE maths, see my other videos below to continue with the series focussed on equations and sequences.
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These are the new revision guides I recommend 💡
Higher - New Grade 9-1 GCSE Maths Edexcel Student Book - Higher (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/366PltG
Foundation - New Grade 9-1 GCSE Maths Edexcel Student Book - Foundation (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/2PpbjBF
Revision videos:
The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - • Everything You Need To...
Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - • Everything for a Grade...
All The Topics You NEED To Know For The 9-1 Maths GCSE 2020 (Higher) - • All The Topics You NEE...
More videos in the Equations and Sequences series:
All of Algebra in just over 1 hour!!! - • All of Algebra in just...
Part 1 - Graph Transformations - • Graph Transformations ...
Part 2 - Inverse Functions - • Inverse Functions | Gr...
Part 3 - Composite Functions - • Composite Functions | ...
Part 4 - Iterations - • Iterations | General I...
Part 5 - Algebraic Proof - • Algebraic Proof | Grad...
Part 6 - Solving Quadratic Equations - • Solving Quadratic Equa...
Part 7 - The Quadratic Formula - • How to Use the Quadrat...
Part 8 - Quadratic Simultaneous Equations - • Quadratic Simultaneous...
Part 9 - Algebraic Fractions (Part 1) - • Algebraic Fractions | ...
Part 10 - Harder Algebraic Fractions (Part 2) - • The 5 Hardest Algebrai...
Part 11 - Solving Equations with Algebraic Fractions -
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Don’t forget to check out the Ultimate Grade 6-9 Revision video here: ruclips.net/video/o9VuZhCqR2U/видео.html
okayyyyy
what if the value which is equal o x^2 + y^2 = any decimal
I can't thank you enough for your videos, I have my mocks coming up and I'm currently at a 6 but I want atleast a 7. Your videos are sooo helpful :)
howd they go>?
@@vish_n9684 looks like they disappeared 😬
I'm doing higher for the first time after getting consistent 5s on foundation BC I'm getting 9s in science
@@vish_n9684 got an 8 :)
@@jawsavfc oohhh nice !!well done
Keep doing what you are doing you really saved my maths
EMO Thank you so much! I will do my best 😁🙏🏼
Thanks making these videos, they're all so clear and helpful!
No problem at all!! Great to hear 😁🙏🏼
Thank you very much for all of your videos, they help a lot.
Date: Thursday 17/8/2023
I'm going into year 11, reply to this comment in 1 years time and I will share my results (aiming for a 9)
Thanks once again The GCSE Maths Tutor
good luck iam too aswell aiming for a grade 9
How is it going so far my lovely bubbly plump cutie patootie much in pie ❤❤
@@rKaraa bro?
this really helps me as a student that moved to higher last second.
Thank you, this is so helpful when your school sets homework in lockdown without even explaining it
Visualisation at start was a great idea!
Putting these 3 equations (e.g. x^2+y^2=17 and y=x-3 and x^2-3x-4) into an online graphing calculator really helped me visualise what's going on. You have the circle, straight-line and/parabola all one graph to confirm coordinates. Good fun!
Ikr!
I am thanking you for teaching us Maths GCSE, I have all subjects nailed down, one again. Thank you!
It’s my absolute pleasure!!!
year 11 me who got a 9 in maths and furthermaths is so slow 2 years later :) this channel is getting me through the maths in bmat
you really just summarized 3 years of igcse teaching into your videos.
Hope you find them all useful! 😁🙏🏼
yeah but he took years to make them I mean he was consistent with videos over periods of time which resulted in years???
Was the first one to like and first one to comment before even watching because I knew this video could be useful
Lolll Hello Haha love it! 🤣
The GCSE Maths Tutor thank you
I know I am the #numberonefan 😂😂😂
Lolll Hello haha yes!!! 🤣🤣🤣
@@lolllhello7718 jj
My teacher was horrible doing this, now that you have helped me, I can actually get 5 marks on a question!! Thanks!!!
So glad to hear I could help 😁🙏🏼
@@TheGCSEMathsTutor I know I commenting on a random video but please reply on here you know the videos u uploaded liek the 5 hardest gcse maths questions part 1 and part 2 I kinda want more parts they are so enjoyable.... like obviously different ones please man
Hello sir, I just wanted to ask if I could use the quadratic formula at the last stage instead of factorising. Thank you
Ahmed Mustafa Absolutely you can but I would prefer to be fairly fluent in factorising quadratics! Particularly if you are doing these without a calculator, although I have done some at the end that must be done using the quadratic formula 😁
@@TheGCSEMathsTutorhow would u tell the difference
Not gonna lie sir ur videos are really urself and simple than other many videos I believe u will hit 1 million subs by next year
Thank you so much for the positive feedback! Glad you like them and let’s hope so haha! 😁
Yeah
cap he's only at 137k and thats 2 years later after ur comment
@@rayhaan7860 *138K
@@fatimaalramahi9944 yh that changed like 1 day ago anyways u got insta i wanna talk to u
Thank you for your hard work. Much appreciated among IGCSE students :) ❤️
I’m so glad to hear I could help! 😁🙏🏼
i cant thank you enough ur videos are helping me catch up since i moved to higher
Hi
I think you got the values for y wrong as you rounded instead of using the full number
Y should of equaled to 3.89 and -5.09 instead of 3.88 and -5.08
thank you! I finally understand how to do this now :)
Amazing!!! 😁🙏🏼🙏🏼
idk what i woukd do without this legend :)
got a grade 6 on my last mocks aiming for grade 7/8 for my mocks next week
did my maths paper 1 mock 2 days ago and i dont think ill scrap a 7💀
@@rottinqangel what did u get? 1 yr late 😭
@@SV7_EDITZ i got a 7 🙏
@@rottinqangel W
Can you please check your answer at 27:00 because instead of +8 and -4, i used +20 and -8. My x was equal to 8/5 instead of -8/5 same with the 4
I did ur mistake too. You should’ve used -20 and +8.
Do u think you will be able to have covered everything by our GCSEs 2020
That’s the plan! 😁 they will all be ordered in the playlists in line with the revision checklist here: ruclips.net/video/qT-M7C1cNTg/видео.html
The GCSE Maths Tutor Thanks
I was able to go from not understanding it to understanding it in 25 minutes, thank you!
I moved back up to higher thanks to you!
Yesss that’s amazing news! Keep it going 😁👌🏼
for the last question i got y = 3.89 and y = -5.09, did i go wrong or would i still get the mark. Thank you tho the video was great
Hi Sir your video was really helpful you know for the first question do you have to simplify it by dividing everything by 2 because you get the same answer if you don’t simplify it or is it because you get extra marks for simplifying it? Great video again btw👌
Glad to hear it! You don't have to divide everything by 2 but it's much easier to factorise if you do!
i really dont understand how im understanding grade 9 topics like this straight away just by watching ur videos
thank you so much
it has also come to a point where I actually comprehend the worked solutions to a grade 7-9 maths question but the things is I slip of in an exam when I need to do it myself......
how many marks would this question be? and thank you for getting me through my mocks :))
Normally 4-5 marks depending on the complexity! Glad to hear the channel has helped 😁🙏🏼
Instead of typing in the entire equation you can press the mode button on the calculator and then press 3, then you fill in the digits a, b and c and you will get both values for x
THANK YOU SO MUCHHH
These videos are actually really fun to do 😊 makes the questions appear so simple, thanks!
Glad you think so! My pleasure 😁🙏🏼
agreed
@TheGCSEMathsTutor I have a question! At 41:35 I rounded the x values to 3.45 due to 3.4449 and the other x to -1.05 due to 1.0449 would this be considered wrong?
Yes, because rounding 3.4449 to 2 decimal places will be 3.44 and rounding -1.0449 to 2 decimal places is -1.04.
If you’re gonna round it, it’s gonna have to be right for the answer to be right🤷♂️
is this in the IGCSE CIE Cambridge extended syllabus?
Mina Haq This could be used for the iGCSE as well, there are some additional topics in the iGCSE that I am yet to cover but all of these are applicable as it’s the same methods and topics 😁🙏🏼
Man how can I appreciate you I'm so flying.
Learn from school ---- NO
Learn from GCSE Maths Tutor ------ YES
fff
at 22:47 can you write the answer as a decimal? Or does it have to be left in a fraction?
bro if u look at the mark scheme most/some questions have various answers. so u only need to employ one of the following from the above.
hi! for the last question, i was wondering why you didnt swap the values to make them: -3.11 and 0.708, like you did in previous questions?
I’m assuming this question I was using the quadratic formula and not factorising, I can’t jump to the spot without a timestamp but given the values it would seem that’s what I’ve used, you only have to “flip the symbols” when factorising and solving 👍🏼
@@TheGCSEMathsTutor thanks! yeah you were using the quadratic formula, it is at about 34:45
thank you so much!!
You made it more than easier for me
Can the quadratic formula be applied when the question states proves algebraicly, can the quadratic formula always be applied if a calculator is allowed?
How do you tell whether its a quadratic simultaneous or just simultaneous? Why don't you solve for y instead of making it into a quadrant at 3:58
A quadratic simultaneous equation will have powers of x higher than 1, specifically a power of x^2 😁 you could solve for y if you wanted!
@@TheGCSEMathsTutor Thanks for the help. I really appreciate all the time you've put into your videos. 👍
thank u frl saving my grades😭
Suguuruuu
@@sato-sugu TWIN
The question before the last question 9the question that require quadratic formula ) , x= 3.1…. , the answer seem like I’d x=2.0717…or x=0.32822…, I’m not sure , but that what my calculator show
At 6:57 shouldn’t it be (3,8) and (2,7) ???
Sir for the red one is it calculator?? i used quadratic formula instead
That question wouldn’t have to be on a calculator paper as it could be solved by factorising, that being said it does make the question a level above the rest before it if it was on a non-calculator paper!
@@TheGCSEMathsTutor ah I see yeah i assumed it was calculator because the numbers were so big
Thanks it helped me a lot
Litterrelly watching this the night before my math final exam lol
are these questions in the calculator or the non calculator paper?
Lamiya Khokon They could be on either! The ones requiring the quadratic formula are exclusively calculator though 😁🙏🏼
@@TheGCSEMathsTutor Thank you soooo much! Keep up the amazing work! :)
Doing my last Mafs Gcse today ty for everything dawgg 😖😖
I just wanted to know how would you be able to solve a quadratic simultaneous equation if the y value was a fraction and you could only make it a fraction. So how would you be able to come around this question.
Sir Please Help!!! @6:22 Why cant you substitute y into the first equation.
26:00 how does 8 and -4 make -12 and shouldn’t they multiple to make 160?
I thought it would be (5x-8)(x+4)
he did it right, you need to times one of them with 5 so -4x5=-20 -20+8=-12!!
@@aliwaras4975 in school we were taught so multiply the 5 with the 32 to get 160, im so confused now
Thanks for this. Really helpful to have you go through all the steps :)
Glad it was helpful! 😁🙏🏼
when you removed the brackets of (x+3) (x-5) why did 3 become negative and 5 positive?
Check my video on solving quadratic equations 😁🙏🏼
I was confused for ages why you had plus y and you fixed it. I thought I missed a step in your method.
Great video sir good job keep up the good work.
How mnay Mark's would these be in an exam??
5 marks usually 😁🙏🏼
@@TheGCSEMathsTutor thanks. Please can you a video on rounding like 3sf 2do etc?
Kierat Sahota Will do!! 😁🙏🏼
Thank you so much I understand it much better now.
So glad to hear that! 😁🙏🏼
Stoppage: 16:42
intro is a vibe
sir, love u! and god bless you
A doubt, (x+1) (x-4) = 0 then x=1 and x=-4 then y=x - 3 = y=1 - 3 = -2 and y=-4 - 3 = -7, is this correct
These videos are sooo Helpful. Keep up the good work:)
Hey, how did you get -2 at 20:01?
Really helped broski 🙏 🙌
i have my igcses tomorrow i love you.
thank you for the video. clear explanations helps a lot.
Hi at the end of the first question it says y equals 2 and 3 how come its not negative since in the brackets its negative?
Just a quick question, in q1 at the end after you get (y-3) (y-2) how come it is then positive when you solve for x?
solutions have to be the opposite
I think , the x-2 = y that he did is wrong because it should be x-2 =-y and when we put it in the other equation it should be x^2 -(x-2)^2= 34 ( I am not sure about that) because when I use x=2+y I got different answers, is I am wrong?
I think you have made a mistake on 15:46. I think it's the wrong way round: y=-5 and y=2, not x=-5 and x=2 as we have rearranged the equation for y.
Nope this is definitely correct! A good test is to sub the pairs into the easier equation, so substituting the 2 values into y-x=3 😁🙏🏼
great video! very helpful
Sir for a linear simultaneous equation in the exam they will allow for the elimination and substitution method right?
yeah
how did u get -6 when expanding brackets in min 13:00?
thank youuuuuuuu
How come you flip the symbols after expanding the brackets
What do you mean flip the symbols
36:48 i thought my eyes went wrong because the screen went purple
is there a tactic to know whether to use x or y
just look at the one you'd find easier, like if it has fractions its probably better to use the one without it
Thanks a ton thank you ❤
I don't understand how you get (y-2) and (y-3) to equal y=2 and y=3.
Am I missing something? Is this a rule where you flip the sign?
y-2=0
so you do y=2 as you add 2 on both sides to have y on its own equating y=2
y-3=0
y-3(+3)=0(+3)
y=3
henceforth y=2 and y=3
@@khadij444h Thank you! This really helped me! ❤️❤️❤️
cheers boss
sir at 27 :14 wouldnt y be 1/5 because you are doing 3.2 -3 = 1/5
Is this higher or Nat 5 level ,reasonably comfortable with this
I'm stuck on this question rn it is x^2+y^2=25 and y-3x=13 I have no idea what to do
I know it’s v late but rearrange to y= 13+3x
8:12 when i usd the x=y+2 i got a completely different answer. please help me.
Same , is that wrong?
Should 3squared be 9? At 14.57?
Kierat Sahota That’s what I’ve written 😁🙏🏼
@@TheGCSEMathsTutor it looked like a 6
Kierat Sahota The amount of times I have misread numbers or written the wrong number down while saying another is ridiculous 😂
@@TheGCSEMathsTutor so it should be 9? I'm confused 😂
Kierat Sahota Yes it’s all 100% correct! 😂
Do you have to remember the quadratic formula?
YOU ARE SO AMAZING THANK YOUUU
he's actually drawing in real-time it's not a pre-created slideshow don't look at the bottom left of how he doesn't constantly presses the arrow
I have no idea what this means… I am writing as I speak though 😂
@@Wojbest_YT it flashes every time I put the stylus on the screen, it swaps from scrolling to writing mode
@@TheGCSEMathsTutor oh ok edited the comment also i wanna say that your videos are great and really helpful and i can see you clear have a passion in what you do compared to other maths youtubers who are either not helpful or only care about subs
@@Wojbest_YT thank you so much! I’m so glad that comes across, and I’m really glad to hear that you are finding the channel helpful! 😁🙏🏼
quite helpful, thank you so much!
2:03 this should be Y^2
hello brian, good lesson
😂laughed out loud 📢 btw my name is tosh!!! 😢
Oh my god no way😮
No!! My name is olesias!
I’m beginning to think I might have dyslexia or something, I always mix numbers and letters up and everyone else seems to understand it but me:(
your not practic e makes perfect the more you do the more better you will get
23:08
Bruh it's so easy and during my exam I blanked out
FRRR like this is so simple and they are always worth 5 marks.
THAAAANK YOU so much
15:50
think u fumbled the three significant figure on the last q but nice
20:10
Good