GCSE Maths - How to Solve a Quadratic by Completing the Square (Part 2 - Solve When a=1) #53

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This video covers how solve quadratics using the 'complete the square' technique.

This video is suitable for maths courses around the world.
KS3 - Not on your course
GCSE Foundation - Not on your course
GCSE Higher - All on your course

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If you’d like to practise the material covered in this video, check out our platform at www.cognitoedu.org - it's totally free, and has been built to make learning and revision as easy as possible. The main features are:
- Lessons organised by topic, only the lessons relevant to your specific exam board and tier are shown.
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- Practise quizzes so you can test your knowledge. You can quiz yourself on any combination of topics you like.
- A huge number of fully-hinted questions that take you step-by-step through some of the trickiest calculations & concepts.
- A comprehensive bank of past exam papers, organised both by year, and also by topic.

Amadeus & Tom

Cognitoedu
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Who says superhero wear capes
This guy is a superhero he is doing such a great job he deserves 1 million subs
Salute to him

hryanmahajan
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Istg if i had money id tip people like u big time . Yall help free of cost omg

mathzimmer
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this is so incredibly helpful as always :) are you open to doing a-level maths videos?

ivashehu
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Cognito- getting me through my GCSEs one video at a time

-Ray_Moon-
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Thank you very very very much you helped me a lot.

ab-lata
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Now I can know how to solve quadratic equations using ''completing the square method''😎

somtookafor
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Do you have a video to explain how to do these when the squared coefficient is greater than one?

magpiestudent
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can you still complete the square if a= more than 1?? (so 2x^2 for example)

jadensully
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Taught me more in 1 minute than my teacher did in 170 minutes.

Stash.Jd
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Do u have to square root it or can you just leave it?

majamalon
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But what to do if the coefficient of X^2 is not 1 .. Can u pls make video on those sums

suhaangoyal
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Hey can you please upload a video on how to complete the square when a is not equal to 1 ??

catherinvarughese
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Hi Cognito!

Quick question so, If you have a question like x^2 -10x + 18

1. You find a, b, c.

2. You do the (x + b/2)^2 - (b/2)^2 to get the (x + p)^2 + q form

3. THEN, With the (x + p)^2 + q form with a = 0 at the end you rearrange the equation to get x by itself.

4. Then you are left with 2 possible solutions.

Is that correct?

stephaniemachado
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this tuaght me more than my maths teacher could

eden
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Excellent ! Wich police do you use for your text ?
Or it s writting with a pencil ?
Thanks for any answer 🙂

pmmt
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Are you going to do a video about completing the square when a isn't 1? It's a bargain. 5 minutes and you learn the content rather than sitting a week in class

hamzasherasmat
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Your videos are superb!! Can you make a video on detection of radioactive radiations? I have my O'levels next month..

romaisayaqoob
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what if the co efficient isn't 1?

rbbie
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i dont know how to get the first -7 in the first example

mrqwerty