2026 HSC CHAT (14 Viewers)

f7eeting

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I FINALLY GOT THE QUESTION
It's actually easier than the last one it just looks way more cooked. Only thing is that I came across some algebraic manipulation i've never seen before but other than that it was ok.
View attachment 51580
It's not toooo bad only comprehending the question was full cooked
after staring at this for a while, i think i finally get the part where you deal with each inequality separately

for both inequalities, we're trying to isolate e right? hence why we do the root thing to get e by itself. the confusing bit is why do we not do the same operation on the rhs? why do we raise it to the power of n+1 instead?
thats because when it comes to inequalities, as long as the inequality holds its still valid, so we dont necessarily need to do the same operation on each side
thats why they tell us that n is positive- if u raise anything >1 (which e and 1+1/n must be) to the power of n, as long as n is positive, that will be greater than if you rooted something to n.
in other words-
a^n>n√a given n>1 (if that makes sense)
this is also true for n+1

so conveniently, by raising one side to the power of n or n+1 and rooting the other side by n or n+1, we isolate e whilst getting what the question wants us to prove by getting out (1+1/n)^n or n+1 and the inequality holds

then after doing that we get e in both inequalities and we can make a sandwich inequality (as my ext 2 teacher calls them 😂 ) and boom!
 

f7eeting

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yes so why are we doing the opposite operation instead? Is it because as we take away the power the change is so drastic that the inequality cannot be valid unless the opposite is done to the other side?
but the thing ab inequalities is that all that matters is that one thing is bigger than the other thing, no matter how much bigger the thing is yk? unlike equalities where everything has to be perfectly equal to each other

doing the opposite operation still lets the inequality hold, and it gets out the term the question needs us to get so it doesnt matter the operation we do.
take for example like idk
x>y

the inequality still holds if we change it to like

x+1>y

even tho technically the LHS is larger than before, the inequality is still true and we didnt need to necessarily do the same operation on both sides.
actually im not too sure if this is valid bc ive never done anything of the likes while dealing with inequalities but it seems ok to me, as long as we get what the question wants right? 🤷‍♀️
 

f7eeting

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I'll confirm it with my teacher tmr and tell you if ur correct.
to be honest id be very surprised if you got anything that'd expect you to do stuff like that again in advanced.
besides the question was from 2002 right? probably had a very different scope back then
 

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I FINALLY GOT THE QUESTION
It's actually easier than the last one it just looks way more cooked. Only thing is that I came across some algebraic manipulation i've never seen before but other than that it was ok.
View attachment 51580
It's not toooo bad only comprehending the question was full cooked
this looks like hell
 

f7eeting

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I'll be ready for anything this time I cannot fail
the exam is only 3 hours long, and if they waste some of that precious time by testing some algebraic manipulation skills you found in a question in 2002, theyd just be trying to set everyone up for mystery marks 😂
id say its a good thing you got exposure to it but dont worry about mastering it unless you somehow run into a problem that needs this kind of technique again
 

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to be honest id be very surprised if you got anything that'd expect you to do stuff like that again in advanced.
besides the question was from 2002 right? probably had a very different scope back then
u never know, since it's the last year of this syllabus they'll throw the hardest questions ever.
 

f7eeting

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my school does not I'm watching through some of my friend's tuition videos. If i did all the work my school only gave me I would fail the tests and i have experience from that
why does your school make your exams so hard? mine, at least for adv are always copied and pasted straight from the textbook
 

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don't drop adv 😭 you just have to find the very limited fun in math
too bad I already handed in the form. tbh I'm looking for something easier than to go through whatever math adv is. Maybe if I drilled math harder in year 11 then I would be better at math now and I'd be able to cope with adv but not rn. I like blaming it on this one teacher for ruining it all but at the same time I should have worked harder, but honestly it's not like I completely bludged math either. Like my other subjects did not suffer as much as math did

Hopefully math won't be super boring now tho and hopefully me getting high marks will motivate me to do well
 

f7eeting

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too bad I already handed in the form. tbh I'm looking for something easier than to go through whatever math adv is. Maybe if I drilled math harder in year 11 then I would be better at math now and I'd be able to cope with adv but not rn. I like blaming it on this one teacher for ruining it all but at the same time I should have worked harder, but honestly it's not like I completely bludged math either. Like my other subjects did not suffer as much as math did

Hopefully math won't be super boring now tho and hopefully me getting high marks will motivate me to do well
are you talking about our old teacher?
tbh tho i think math gets more boring the more you drop down, but at least standard will be a bludge lol
 

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are you talking about our old teacher?
tbh tho i think math gets more boring the more you drop down, but at least standard will be a bludge lol
yup our old teacher messed up my math. Like I can't do math properly anymore and it just demotivated me which led to me putting less effort and just put me in this negative cycle
 

f7eeting

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yup our old teacher messed up my math. Like I can't do math properly anymore
yeah she confused the hell out of me too, i just stopped trying to learn from her and only payed attention to the funny stuff she said 😂
i kinda miss her tho, i wish i could tell her im doing ext 2 now...
and she always sounded so proud whenever she told me i got 1st, i think it made her feel superior to the other teachers bahaha
 

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