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Hi, I am not really a per— oh wait. I am this 13 year old guy who relaxes all the time — not sure if has a real purpose in life.

I like to study mathematics and physics and will do some work on these interesting fields in the future. Currently targeting physics.


10h
comment Algebra Equation with equals on left hand side
@amWhy Just saying, but some people who have started with algebra-precalculus may not understand what a relation is, let alone a symmetric relation. I think you should include a link which explains equivalence in classical logic as well as relations. Thanks :-)
1d
comment How do you define definition symbol :=?
:= := :=, if you know what I mean. ;-)
1d
comment What is $-i$ exactly?
@AdrianPetrescu but 1 does have a sign, which is +, so we can use - to negate it. Here, I first focus on how -i cannot exist and then I say that even if it does, what differences are there between the two?
2d
comment How to show $x^4 - 1296 = (x^3-6x^2+36x-216)(x+6)$
I agree. :-) ${}$
2d
comment How to show $x^4 - 1296 = (x^3-6x^2+36x-216)(x+6)$
(Mostly known as the synthetic division.)
2d
comment How to show $x^4 - 1296 = (x^3-6x^2+36x-216)(x+6)$
Uh, actually I am saying that you wrote $a^4 - b^4 = a^3 + a^2 b + ab^2 + b^3$. It should be $a^4 - b^4 = (a - b)(a^3 + a^2 b + ab^2 + b^3)$
2d
comment How to show $x^4 - 1296 = (x^3-6x^2+36x-216)(x+6)$
$a^4 - b^4 = (a - b)(a^3 + a^2 b + ab^2 + b^3)$...
2d
comment How to show $x^4 - 1296 = (x^3-6x^2+36x-216)(x+6)$
Note that the factorization is easily derivable by the Factor Theorem.
2d
answered How to show $x^4 - 1296 = (x^3-6x^2+36x-216)(x+6)$
2d
comment Choice of numbers in calculating $\lim_{x\rightarrow 0}\frac{e^{2x}-1}{\sin 3x}$
I think what lab said suffices.
May
21
awarded  Good Question
May
21
revised Basic Trigonometric Substitution Question
corrected minor spelling mistake
May
21
revised Determine the inverse function of $f(x)=3^{x-1}-2$
added 39 characters in body
May
21
answered Determine the inverse function of $f(x)=3^{x-1}-2$
May
21
comment The sum of irrationals is irrational?
@user17762 And there's a populist badge for ya.
May
20
revised Given $x,y,z\geq0$ and $x^2+y^2+z^2+x+2y+3z=13/4$. Find the minimum of $x+y+z$.
edited >= to ge symbol
May
20
comment Why is 987654321/123456789 = 8.0000000729?
Ah, gotcha. Nice answer.
May
20
comment Why is 987654321/123456789 = 8.0000000729?
Is it just me who is too stupid to understand what the pattern is?
May
20
comment Differentiate $\log_{10}x$
Hey Joe! Long time :-)
May
20
awarded  Popular Question