When you're thinking about your code when doing math homework, but then realize you're accidentally putting semicolons after each step.

I did it again. Oddly, I only do it when I'm not paying attention.

This is...... lovely! 😂 A++!!

'exploration' xD

@Michelle for a it should be (x-2)(x+1)

For b there should be 3 roots -1,0 and 2

For a you should be able to quickly error check by seeing that the vertex is -b/2a or in your case -(-1)/(2(1)) -> 1/2

@Axis
I see my mistake now. Thank you so much! You're a life saver :)

@Michelle anytime! If you ever need math help just tag me, I'm better than the average bear :)

@Axis
Yes, I've noticed your skills. Thank you. I'll keep that in mind for when I need help. I appreciate it :)

@Michelle Just noticed that for your 2nd photo, you missed one root.

@Japorized
Yeah, I just saw that haha. For some reason, I assumed it was squared and not cubed. Thank you!

@Michelle x=0 ..too

@Michelle Haha... I did too, until I wondered why there were no constants but I saw 3 terms. That contradiction immediately made me realize how blind I was 😂

As it says "work with a partner"

Is that wavy curve that you made ?

@Anjan1730-1
I'd rather not. I usually do my homework alone lol.

@jalebiBhai
That wavy curve is my graph xD

It's a nice method to learn

To know nature of function ( when it is positive and when it is negative )

@jalebiBhai
I know. The equation is positive so my graph is positive as well. :)

Also very very helpful in finding minima and maxima. My school was strictly against using it for finding maxima and minima, but with wavy curve, it's much faster, accurate and less error prone

@Michelle positive except a region

You mean the minimum and maximum? We do that as well. But yeah, thank you! :)

@Michelle no not minimum or maximum.

The term you are calling can be compared to global maxima/minima or local maxima/minima in calculus terms

But maxima, minima and maximum, minimum are different things. Well it sounds so similar but are totally different

@jalebiBhai
Ohh, we haven't learned that. So I haven't heard of those terms before.

Its good to learn it.
Say for example, there is a function which is increasing, but there comes a point after which it start decreasing, that point is maxima. Similarly, point after which decreasing function starts increasing is minima

Where a graph or function can only have one maximum or minimum, it can have any number of maxima or minima. You see there could be infinite points in function where it's direction changes ( increasing then decreasing or vice-versa )

@jalebiBhai With all due respect, please stop it.

@Anjan1730-1 sorry, I got carried away

@jalebiBhai @Anjan1730-1 Not sure why to stop, although it is getting out of topic and definitely not at a level that @Michelle would need to understand but it could be something interesting for her.

PS: I was just starting to think of crazier things like if a function has a local maxima everywhere, and it is continuous, then what sort of function is this?

@Anjan1730-1 permission granted ? Shall i proceed ?

@Japorized I guess you meant just maxima. local maxima is different thing.
No it cannot have maxima everywhere.

@jalebiBhai Your argument being?

@jalebiBhai if a function is continuously investing, then only possibility is, it can decrease after a point or remain constant for a region is.

@jalebiBhai Hmm... But that’s not a counter-argument to the statement, because you’re supposing that the function is a decreasing one, but a decreasing function does not have local maxima everywhere.

increasing, not decreasing ... sorry for typing mistakes

It still isn’t a counter argument, because an increasing function implies that f(x1) < f(x2) if x1 < x2, which then means that f(x1) is not a local maxima, thus not satisfying the assumption.

if you are talking about local maxima, then yes a increasing function can have many local maxima, subject to condition domains are different. But not two maxima one after another ( how you can have two maxima together one after another ? )

Our assumption is that every point on the graph is a local maxima, not just many local maxima. It is possible to have local maxima right next to each other, but definitely not just two of them.

@Japorized that assumption is wrong

local maxima is defined for a region/ or domain

@jalebiBhai Can you prove that it is wrong? There are ways to prove that a supposition is wrong, although that’s an unfair way of asking for it for this question, but suppose the statement is either suppose the hypothesis, then the function exists, or suppose the hypothesis, then the function doesn’t exist.

@Japorized let us shift to new thread, else we will end up being killed by a kid

@jalebiBhai Yes, let’s. I’m sorry guys. My curiosity got the better of me.

@Japorized maths is seducing

@Japorized there..tagged you

@Axis devCalc. Just Post a math problem and it will be instantly solved. Does it also work for np-problems? 😋

I actually started putting semicolons while giving my engineering math exams.

@justwellbrock I wish I was that good, would have solved the traveling salesman problem and claimed my million dollars lol

Wow. Were you guys having an argument over math? Lol, I'm sorry. xD

@Michelle It does look like one, but I didn’t intend for it to look like an argument cause all I had was a question 😂

But I do have math arguments with some real life people so I’m sort of used to it. It’s a nice way to sharpen my mathematical logic.

@Japorized
Nonetheless, it was interesting to read haha.

@Michelle If you find the math interesting and want to know how it ended, the convo did move to another post/rant. I can tag you to it if you want to finish reading from there.

since last 2-3 I am feeling that i am in wrong course. Should had enrolled myself to Maths course ( because to my interest in mathematics and solving problems ) than EC engineering course

@Japorized
I'm good, thanks tho :)

@jalebiBhai Well, mathematics is usually taught rather differently in engineering, such that they focus on using it as a tool, rather than unraveling everything that works beneath it, mostly because the underlying construction and problems do not concern the common engineer. Many schools even have regular and advanced sections for freshman/sophomore math courses in the math faculty/dept to cater to the right audience. My school mandates that math students take a course about proof techniques. I must say that it has been an eye-opener for me.

@Michelle No problem! Sorry, I do get a little excited when I get to talk about math, or when I find like-minded people.

@Japorized I had my maths course from the faculty of mathematics though I study computer science. They wanted us to get the foundations right. We learned all the nasty math foundations. I liked the lessons on proofing stuff, since it sharpened the logic to understand algorithms way better. And also to learn the difference between math and only calculating stuff, which the latter is almost anything you learn in school.

Factoring polynomials? How old are you?

@justwellbrock Did your classes go all the way back to the ZFC axioms and constructing ℝ? The advanced section for calculus in my school does that for first years. Of course there’d be people who don’t find it necessary, which is why there’s also the regular section without all these gimmick but still has a certain level of depth. And then for engineers, they have one that’s rid of almost all the proofs.

@Cyanide
I'm 16. This is just review for what we'll do later.

@Michelle All the best :)

@Michelle 16 and you are here. You are smarter and more self aware than majority of us here

+5555

@jalebiBhai
I'm really not, but thank you so much!

@Michelle There’s a good head on those shoulders at least :) I’ve met 16-year-olds still wasting their life away, so do have more confidence in yourself that you’re a good egg :)

@Japorized
Thank you. That makes me feel much better about myself! :)

@Michelle i meant smarter than '16 year old version of us '. Obviously we are smarter than you :P

@jalebiBhai
I know what you meant haha.

i miss algebra

subbed to rants. this is priceless - im happy y'all are helping with mathwork tooo 😂

@jalebiBhai
Wow. Now I know what you meant by local minima and maxima.

When you come across quadratic inequalities, don't forget to replace ≠ with !=😂

@Cookie-Monster
Brilliant! I should haha, though, probably not on the test xD

On the same note, I’m sorta worried that I’d somehow forget how to draw a symbol and just put in LaTeX code as substitute ¯\_(ツ)_/¯

@Michelle now do some show off to your classmates xD

@Michelle no ... thats just graph xD ... maxima and minima are points on graph

@jalebiBhai
I know. It's because I didn't do it yet lol.

@Michelle you mean, the show off ?

@jalebiBhai
I don't like to show off haha.
I meant when you said that it was just a graph, that's bc I didn't finish it yet xD

@Michelle you have this in your grade/course

@jalebiBhai
What do you mean?

@Michelle maxima and minima, is in your syllabus ?

@jalebiBhai
Not really. They didn't tell us what we are going to learn. It's in the textbook tho.

@Michelle nice. Go learn some more calculus. Differential and integral

@jalebiBhai
I'm planning on taking calculus next year :)

@busuu
Uh, clearly you did not read above. As I said before, this is REVIEW for what we will do later on.

@toastflaming Sorry, I’m not sure which of my replies you were referring to 😅

I miss factoring now... We're getting to the scary stuff.

@Michelle If you’re already comfortable with indices, just change everything to indices and you’ll be good. No monster is scary once you know how too handle them.

@Japorized and you have to give it a name! Like Bob or Alice. But beware, the others might not understand what your are talking anymore.

"As you can see, these Bobs here indicate..."

@justwellbrock I used to call my variables as lambs, while holding others as constants temporarily 😂

Lost a full point😔

@rhein7
Rip.

Man... That reminds me of the good old days of easy high school math...

Now I have questions like this...