Thank you so much, I didn’t really grasp this in intervention as my teacher explains fast and I do ask her how she got something n she’ll explain it but I still won’t get it! So I really like the way you tell what you do as you do each step. Thank you☺️
@Joshua Holder If you want another example: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-p15_GD_Eks0.html Thank you for your feedback - much appreciated
tysm was stuck on the first bit of the equation because my y wasn’t the subject but with your explanation i figured out how to make it the subject! in hindsight it was obvious but thanks for everything you do
The method is usually to use the linear equation to make one variable the subject, then to substitute it in the quadratic, and then solve the quadratic....so often worth several marks in an exam.
@Abi These questions are common, so it is worth practising lots of them. They are grade 8 questions and usually allocated a lot of marks. Here's another one: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-p15_GD_Eks0.html
The formula will always give you the correct solutions to a quadratic equation, but it is not necessarily the fastest method. See ru-vid.com?o=U&feature=vm&video_id=sMj1GAc3hAU for lots of examples of solving quadratics by factorising. Also see ru-vid.com?o=U&feature=vm&video_id=qAUQ-_VxLZA where it is quicker to factorise the two quadratics
These kind of questions will only be on the Higher papers...be sure that you understand the simper simultaneous equations and quadratic equations before looking at these hard ones. A good video for revising factorising quadratics is: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-sMj1GAc3hAU.html There are easy ones, followed by hard ones at the end.
@mitchel wazowski: See ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-sMj1GAc3hAU.html for this method of solving quadratics. If you prefer your method and it gives the same solution then use that.
In the UK, this sort of question is in the Higher GCSE exam, which students take at 16 years old. Before solving these equations, they would solve linear simultaneous equations, such as: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-qHh4jFW1wwg.html and solve quadratic equations like those here: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-sMj1GAc3hAU.html .....What country are you in...and what exams do you do?
So you will be in year 10 in September and taking the GCSE in 2020? ...This question is grade 8, so quite hard, and you are not likely to have seen it in year 9.
That's covered in this video...examples 8 and 9, but work through some of the earlier ones too if necessary: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-sMj1GAc3hAU.html
(2x) multiplied by (2x) is 2^2 multiplied by x^2, so 4 multiplied by x^2, which is 4x^2. Then (2x) multiplied by (-3) is (-6x). And (-3) multiplied by (2x) is (-6x). Adding (-6x) to (-6x) gives (-12x)
@Kakola Kalia: The hardest part is usually the first part...here's another similar example: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-p15_GD_Eks0.html