Common Algebra Mistakes and Misconceptions - DON'T DO THESE (Math Mistakes)

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[letsgoBrandon]

"Not ever... well maybe not always ever" THIS is why math is confusing.

[Primitive_Code]

Firstly, this is a great video for any student since almost all majors require elementary algebra and secondly, you didn't over explain this beginner material which exemplifies a true math student.

[taudin]

Your tone of voice is the best! Subscribed! I'm going to watch all your videos.

[saiello]

A lot of the problems people have with the relatively basic algebra ( and even more advanced algebra ), in particular dealing with complex algebraic fractions, is that they simply do not intuitively understand the 'why it works' of the manipulation of ordinary fractions. 😁

[jenf]

Thank God, I watched this video. I wasn't able to understand the solution in my book. Now when I see this I understand. Thanks a lot man!

[thej]

I found a way you could look at x(x+5) = 6. You could assume that x and x+5 are integers and thus have to be divisors of 6. We can include them as both negative or positive. That is, the factors could be (+/-) 1, 2, 3, or 6, and we can iterate through our possible solutions. Then we find x is either 1 or -6. :3 This is probably not a general solution, but a way I thought about it.

[annamariakoloua]

x2+5x-6=0 is really easy in the way we are taught in my country....mind you i'm in 10th grade....and we would do Δ=b2-4ac (in this case a=1 b=5 c=-6) and then x=-b+/- square root of Δ and all of that devided by 2a which means Δ=25+24=49 so x=-5+7÷2=1 or x=-5-7÷2=-6 so x=1 or x=-6

[Fernandodiaspj]

4^n, n integer times a square mades another square, 8^n times a cube mades another cube, etc.

[nicolastorres]

The first one works on fields of characteristic p.

[hussainfawzer]

I’ve never done these mistakes.
In fact I don’t think anyone has done my class too.

When I see the math syllabus all over the world. I see we Sri Lankan have pretty rigorous syllabus but little topics. But everywhere else in the world people learn lot of stuff like calculus and trig in school but they learn it in a shallow way.
Our basics are very strong, therefore when we are about to take calculus, all of our students find it to be a easy subject, because our foundation is strong.

[amn]

As far as I know, you've perfectly comprehended maths, break a leg!

[scmtuk]

√(x²+y²) = x+y
x²+y² = (x+y)²
x²+y² = x²+2yx+y²
0 = 2yx
x = 0, or y = 0.
Therefore, it is only possible for this to be true if at least one of the numbers is 0.
This is simply because if x = 0 for example, it will leave us with simply √(y²) = y, and vice versa.

x/(x+y) = 1+(x/y)
yx = y(y+x)+x(y+x) = (y+x)(y+x)
yx = y²+2yx+x²
y²+xy+x² = 0
y = (-x±√(x²-4*1*x²))/2*1
y = (-x±(i√3)x)/2
Therefore, there are no real solutions to this.

The only way would could have the product of two numbers, xy equal to either of the multiplicand or multiplier, is if the other value was equal to 1.
For example if we have (x+7)1 = 15, then you could say x+7 = 15, and it would work.
This is as obvious as 1 + 1 = 2.

[covjgmz]

Whats the most complete book for learning college algebra on your opinion kind Sir? Ex. The most rigourous...

[ShamoKwok]

Even though i am good in Mathematics I still often make really silly errors.

[epsilonxyzt]

What is the answer: sqrt((-1)^2)= -1 or +1 ?

[brianmelvillemelville]

Show me how me how l could use it offline.

[janardanchavan]

Sir! Plz suggest some good books to learn geometry for high school. Types of books from which we can learn by reading the concepts of geometry like Circles, Coordinate geometry, Parabola...etc. And I'm sure you are working on the videos of Circles, straight lines, Coordinate geo which i suggest you. Plz upload soon.

[bikku]

Bro x and y are different variables not a same variable 😅

[yusufdadkhah]

2:32
You contradict yourself with what it equals, using your logic you said x/x+y does not =1+x/y, hence hashtag means not equal, you put x/x+y#1+x+y then you said it =x/x+y/x=1+y/x which means x+y/x=1+x/y yes, the 2nd denominator and numberator is flipped but they equal the same thing, it’s just that you have to split them with individual variables I.e x and y, you made a mistake in factoring x2+5x=6
You factored it to x (x+5)=6
You said x=1 where it is behind 5 and x =6
The gap between x and x+5=6 means x+ (+5=6 ) 6+(1+5)=12 when there are gaps between brackets it means add and when there is a gap between a integer and a bracket it means you must add the integer and the bracket together.
I never made those mistakes