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Re: HSC 2016 4U Marathon - Advanced Level I like that one. Nice introduction to 4 unit problems. But since you made the problem, how did you actually find the roots for that quartic equation in x ? The 1/2sqrt(2-sqrt(3)) ones.

Re: HSC 2016 4U Marathon - Advanced Level I think he wants us to use demoivre to find an expression for cos(4theta) in terms of cos(theta) because that will be a quartic which will probably resemble his 16x^4 - 16x^2 -1 = 0 thingo.

I swear sometimes its just easier to expand the entire thing and compare each term than doing the algebraic approach. Would this method get the marks ?

Wow that was quick, thanks!

Hey all, I am aware that especially in this day and age, maths goes a long way (IT, finance etc.). But how well does it do purely on its own ? Whenever people list the career options in maths, they always seem to have to be combined with another domain like physics, chemistry, computer science...

Oh ok, why does it tell you to write it down then ?

How do your calculators have enough room for 15 digits ????

I came first, but I go to a average school (15 or so in the class). I think the key to coming first AT THIS STAGE is to really open your mind up to maths. Like do some reading on the history of maths. Find out the different views and approaches to maths (like the greeks and their geometry)...

It depends what kind of questions you are attempting. Questions like convert 1-i into polar form are pretty much as basic as 4 unit gets. Tat being said question 16 in this years paper was a much harder complex number question involving the binomial theorem and polynomials. Its probably the most...

They should still bring it back. Its one of those 'omg maths is beautiful' moments when students learn it.

Exam's in 1 week! Get pumped y'all. Anyways even though its a bit late how'd we all go with speaking ? Stupid examiner kept cutting me off and changing the subject in mine, but overall pretty happy about it.

I dont care about 2003, 1987 or even putnam... This years 4 unit exam was the hardest maths test ever written in the history of mankind. Lol jks it was fair

Somehow I got 1/2 for the triangle. Completely independent of everything!

Anyone know what the total number of marks was

Ah yes you are right lol, 1 mark less

I also think I got C. Well I know I put down 5151, because the sum of integers from 1 to 100 is 5050 (thanks Gauss!!) so add 101 and you get 5151 which i think was C

To be honest, I can't remember if I said the exact word 'even' but I did mentiom something about how there were an odd number of terms, so it was positive. Its over now anyway though so meh.

Yeah but none of them were independent of x, because everything except for the last term was being multiplied by some power of x

How on earth are people thinking this exam was easy ? This exam was in no way easy, way harder than previous years, except maybe for the early 2000s...

Not sure if I'm correct but I got (-1)^n. Its because the product of roots relates to the constant term (independant of x). And since the entire thing went something like x^2n + x^2n-2 + ... + (1-x^2)^n, you only had to consider the last term to get the constant coefficent because all the others...