Completing the Square where a≠1

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Tomorrow is my final exam this came at the right time

RashedJanim
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Very creative way of solving. Intuition.

chouchfroukh
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I wish I was as good at math as Mr H. Your videos are a great help, thank you!

InPursuitOfCuriosity
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Your videos are so effective to me. A new equation is set on my mind

Suvo-ge
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Thank you Professor! I really need the basics so appreciate all your videos.

TeacherLisaHello
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Very well done. It is so helpful to avoid using any quadratic formula for getting students to actually understand what they are doing. However when the coefficient "a" is not 1 it is common to just teach "divide both side by a", but I really like this idea of rather factoring out the "a". Although the calculation will be similar as we are completing the square in the same manner, the division by "a" becomes more natural the way it is shown here compared to "just begin by dividing both side by a".

dataandcolours
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Hey Mr H Im loving the videos! Can i ask for your name?

ejtomas
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Never heard of CTS in HS or college. Thanks for the revelation

KarlSnyder-jhic
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Actually it's easier to solve by multiplying a and c and factoring b into that. i.e. in this case ::
a = 4, b = 8, c = 5 so a*c = 20 = 10 * 2 & b = 8 = 10 - 2

Thus equation becomes :: 4x^2 + 10x - 2x - 5 = 0
2x (2x + 5) - 1(2x + 5) = 0
(2x - 1) (2x + 5) = 0

i.e. x = 1/2 or -5/2

MyOpinion-hmbq
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I watch these videos and am at times confounded - so much so that I forget to like. I plan to do better. Thank you so... much Bro! <3

raymondjohnson
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0:50 why would he divide by 2? How can you just divide a number by 2 for no rhyme or reason without applying it to any other part of the equation?

hooliganbubsy
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Mr h why do you only teach elementary stuff? I know basics are important but most are going to give undergrad exams in the next 2-3 years...

gamingzeraora
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When do you complete the square vs factoring? I was able to factor this just as easy using your method from another video and got same answer.

MrFrmartin
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Could u make a video of completing the cube

michucz
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Hello sir, may I know what kind of projector do use?

pawehhh
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I thought the square root radical yields only a positive number. Why is this different?

davea
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Sir can you teach INTEGRATION and DIFFERENTIATION it's a challenge for us students🙏

themerophile
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exponents/logs quadratics... much practice needed. thanks

robertfontaine
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Please upload ur making learning math actually engaging sepescialy with someone with ADHD, Aspergers, and fatigue, along with a line of shitty math teachers, i would love to see more math videos involving chemistry, physics, or any math problems regarding fractions, imaginary number problems and solutions, and more

enkercodm
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Why did you mention "its always a two" - are we always supposed to decide the middle term by 2? because of the " a^2+2ab+b^2) ??

raamtselon
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