Common Algebra Mistakes #2 #Shorts #algebra #mistakes #math #maths #mathematics

[bunobeatz]

The hardest part about math is figuring out "WHY"

[wheelpool]

Technically, only the second works as it asks for “square roots”. Otherwise, we think of principal square root

[mayatimes]

Is this useful?
Yes
Are you gonna remember it?
No

[anshumanseal]

Root of 25 itself is +-5, we cant put +- in front of root 25 otherwise it becomes +-+-5( atleast this is what i have been taught in school)

[Nobel]

sqrt(x²)=y if x>0 x=y
sqrt ((-x)²)=y if x<0 x !=y
===> To guarantee that x=y in both cases : |x|=y
To get the positive number of an even root, you must use the radical sing:
sqrt (x²)=y
To get the negative sign:
-sqrt(x²)=-y

[Int-E_]

Ive always wondered why the root of
x^2 = |x| when square root can be both positive and negative. Does anyone have the answer?

[jimsmith]

good little factoid: sqrt[x^2] = abs |x|

[mori_zom]

It is correct to use that symbol when you do stuff with square roots because: - • - = + but in cubed its: - • - • - = -

[gide]

radical of something is positive by definition and UNIQUE. There are two solutions to the initial equation x²=25 which are x1=radical(25) = 5 and x2=- radical(25) =-5. The second writing is illegal for two reason: 1. a radical is function then it has a unique value and 2. a radical is positive.

[armeth]

You wrong, there's the module in every √x², both are incorrect

[repulse_wkey]

X=5 or x=-5
Since a radical has two roots

[pelasgeuspelasgeus]

This would be correct if in the beginning you had clarified that x can be negative.

[simonsalazar]

Wrong notation. It's not ±5, when you have a square under a squate root, the result is the absolute value of it, whether it's positive or negative. Not a binary result, unless you're working on functions and finding roots of equations

[dasfasdas]

I got rick rolled before i even know it

[havenbriellecundangan]

Is it normal to have àlgebra in grade2?

[theworld]

It's sad to see that so many people don't understand this in the comment section

[courtneys.shorts]

it’s the same thing. it doesn’t matter unless it’s x squared by 3

[nothingness]

but isnt square root just reciprocal so it becomes 1 over x^2???

[Elite_-iebs]

Ok fun fact, on most of the calculators if u out -5^2 the answer obtained is -25... like what!?

[vishnupratap]

This is partially correct .Gain some more knowledge before giving . I don't even want to give explanation to this answer just google the following
1. x² =|x|
Or
2.x²=±x

The correct answer is 1 while taking square root but if you are finding zeros of an equation only for that case x² =±x

It's my request to delete this video as this will spread wrong information among students