Intersecting Graphs with Simultaneous Equations | Graphs | GCSE Further Maths | A-Level Maths Series

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The GCSE Maths Tutor

The GCSE Maths Tutor

4 жыл бұрын

A video revising the techniques and strategies for working with Intersecting Graphs & Simultaneous Equations (GCSE Further Maths & A-Level).
This video is part of the Graphs & Transformations module in GCSE Further Maths & A-Level maths, see my other videos below to continue with the series.
👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - • Everything You Need to...
Don’t forget to check these videos out first:
Part 1 - Sketching Quadratics - • Sketching Quadratics |...
Part 2 - Sketching Cubics - • Sketching Cubic Graphs...
Part 3 - Reciprocal Graphs & Asymptotes - • Reciprocal Graphs and ...
Final Question Topics:
Part 1 - The Discriminant - • The Discriminant | Alg...
Part 2 - Quadratic Inequalities - • Quadratic Inequalities...
Graphs & Transformations Series:
Part 1 - Coordinate Geometry - • Coordinate Geometry & ...
Part 2 - Intersecting Graphs & Simultaneous Equations - • Intersecting Graphs wi...
Part 3 -
Part 4 - Equations of Circles - • Equation of a Circle |...
Part 5 -
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Pearson Pure Mathematics Year 2 Workbook - amzn.to/2RIaZQe
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🔹 Review what you have learnt on the exam questions
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Пікірлер: 19
@TheGCSEMathsTutor
@TheGCSEMathsTutor 4 жыл бұрын
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@jameschester7839
@jameschester7839 4 жыл бұрын
So glad you’re uploading all of these before I start! Absolute legend 🤜🏽🤜🏽🤜🏽
@GCSEALevelMaths
@GCSEALevelMaths 3 жыл бұрын
Very useful sir thank you so much I really appreciate it thanks.
@Sofia-gk9sn
@Sofia-gk9sn 3 жыл бұрын
I have my further maths exam on Monday and I definitely am not ready but your videos are really helping, thank you Sir!
@Mathspaperks1ks2
@Mathspaperks1ks2 3 жыл бұрын
Good luck Sofia for the results. Hope you do well
@Sofia-gk9sn
@Sofia-gk9sn 3 жыл бұрын
@@Mathspaperks1ks2 thank you so much!!!
@Mathspaperks1ks2
@Mathspaperks1ks2 3 жыл бұрын
@@Sofia-gk9sn no worries would you mind kindly Subscribe to my KZfaq channel if possible please.
@stainew2407
@stainew2407 Жыл бұрын
How did it go? I have my exam on friday and i'm pretty much in the same position as you where. These videos are very useful though :)
@Sofia-gk9sn
@Sofia-gk9sn Жыл бұрын
@@stainew2407 I got an 8 in my final exam, although it was two years ago!
@audrey8519
@audrey8519 2 жыл бұрын
Thank you so much for this!
@TheGCSEMathsTutor
@TheGCSEMathsTutor 2 жыл бұрын
No problem at all! Hope it helped! 😁🙏🏽
@audrey8519
@audrey8519 2 жыл бұрын
@@TheGCSEMathsTutor yep definetely😉
@TheGCSEMathsTutor
@TheGCSEMathsTutor 2 жыл бұрын
👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - kzfaq.info/get/bejne/i897iaWkza-zpmg.html
@MariamAhmed-fy6bu
@MariamAhmed-fy6bu 7 ай бұрын
Hello sir, for the first question would a question like that be given in the exam and if so how could we answer it without using graphing technology. I don't think wed be allowed to use desmos in the exam 😊.
@tigress0076
@tigress0076 2 жыл бұрын
When you sketch the two graphs at 20:10 how would you know how many times to make them intersect - surely u would need to do part b to find how many solutions and therefore alter your sketch or is there another way? (I basically drew the straight line intersecting at (0,0) and another point in the 4th quadrant but drew the line going below the curve in the 2nd quadrant) should i use my graphical calc?
@silenct13
@silenct13 Жыл бұрын
When you solve a part b, I think the answer will depend on what the equastion you got will be if it's quadratic equations it means that we can find 2 solutions of intersection, and if it's a cubic equations it means that we can find 3 solutions of intersection, maybe that's what i got from this video, I hope it can answer your question and please correct me if i'm wrong
@tigress0076
@tigress0076 Жыл бұрын
@@silenct13 but you could have two quadratics that don't intersect at all, like y=x^2 and y = -x^2 - 1
@silenct13
@silenct13 Жыл бұрын
@@tigress0076 yeah but what I mean is in this context question that you ask before, I mean you ask question of 20.10 in this video that's why i'm focus in this type of question, you know that to solve part b you must use this f(x) = g(x), then you must do factorization to get the x values. Let's see for example in this 20.10 question, to find the solutions you must make x^2 (3-x) = -4x and then the answer is x^3 - 3x^2 - 4x = 0 as you know that it's a cubic equations and then to find the results we can factorization it so that the final equations answer will be x (x+1) (x-4) and there you go, you find the 3 solutions x here, x=0 ; x=-1 ; and x=4 that's what i mean in this context of question I hope you can understand what I mean. And then to find y you just need to subtitute each x to one of the equations before as like you see in that video
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