YOUR MATH TEACHERS NEVER TOLD YOU THIS ABOUT EQUATIONS

Here is a short video discussing some fundamental truths about equations that you can use to sharpen your mathematical manipulation abilities. Unfortunately, since most Math teachers today are not mathematicians, it is very unlikely that you knew about these mathematical truths.

[@koyomie]

rare find, i've been blessed to find this video

[@finite1731]

For your first point it is probably clearer to say: a*b=0 implies a (inclusive) or b = 0. The way you wrote the "Fundamental Truth" would imply that for example in the case 6x+6=0 that 6=0 becuase it is a common factor which is a contradiction as 6 is not equal to 0.

[@_someoneunknown_5501]

I will now be a loyal subscriber to you. Hope your channel continues to grow so that more and more people can gain and spread your knowledge.

[@citytutoringmath]

Thank you! Much appreciated. Where are you located?

[@devd_rx]

what was your PhD paper on and what's your current research work?

[@citytutoringmath]

I did not pursue a PhD paper, as I did the Masters program in Pure Mathematics at University of London, and then afterwards decided to concentrate on researching on Abstract Algebra as well as Number Theory.

[@Anonname-vb1ns]

New Subscriber😊🎉🎉🎉

[@citytutoringmath]

Thank you! Where are you located?

[@BonFlanders]

Hello Professor Cromwell! once again, your emergency video on the sum and difference trig formulas were very helpful, and also helped me ace the test that I had pertaining to Trig Identities! As of now, my Precalculus class is going over Math Induction along with the Law of Sines in Triangles(with limited usage of the unit circle involved). I hope you will be able to make a video fulfilling these topics, but if not due to time constraints, I understand. Irregardless, I hope to see this channel further grow over time!

[@citytutoringmath]

Thank you! I am so glad for you that your exam went well! Yes, I think I will be able to do that this weekend. Where are you located, if I may ask?

[@BonFlanders]

@@citytutoringmath You’re very welcome! I am located on the West Coast of the US, in the Bay Area, California specifically.

[@citytutoringmath]

Great! So, I'll go ahead and plan a video for those topics you need. I cannot guarantee all of the topics, but at least a good portion of them either Saturday or by Sunday.

[@BonFlanders]

@@citytutoringmathHello once again Professor Cromwell! I forgot to mention that topics further covered as of now include the Law of Cosines along with modeling problems in triangles, solving triangles, and sinusoidal modeling, with the test on all of this being the Monday after next week(Math Induction, Law of Sines, Law of Cosines, Solving Triangles, Modeling problems in triangles, and sinusoidal modeling). The unit after this will be one of toughest ones covered in the course, and will mostly be covering vectors, which tends to get very conceptual.

[@citytutoringmath]

@@BonFlanders Oh that's even better then! Gives us a lot more time to do things for sure!

[@safwanebouftass2806]

in the equation where is the product of independent terms (x+1)(x+2)(x+3)=(x+1)^2 (x+6) , the solution is also 0 right?

[@citytutoringmath]

The common factor is x + 1, so the common factor x + 1 = 0, but when you solve for x, you get x = -1. So in a situation like that where it is a factor that is of an equation type, you have to remember to solve for x. Make sense?

[@safwanebouftass2806]

@@citytutoringmath i understand that x=-1 but isnt 0 also solution

[@citytutoringmath]

@@safwanebouftass2806 Yes, correct!

[@jeebusthegreat8819]

Hello, your website seems to be down.

[@citytutoringmath]

Hello! No, the website is just under construction. It should be available by next week. Thanks! Is there anything we can help you with in the meantime?