Search results

hehe scraped prize by 1 point

prove this: [(n+1)(2n+1)]^n >= (n!)^2*6^n

Re: Olympiad letter yeh invites were received two days ago on monday from aso. all the people from maths olympiad made it to physics because theres always a maths quesiton in the physics olympiad. thats the only problem i solved and i still got invited, lol. must mean that australia really isnt...

well it comes down to this: x^4 + 2x^3 + 3x^2 + 2x + 1 = (x^2 + x + 1)^2 and it pops right out. pretty neat huh? i dont think its useless, i think its quite instructive. i think high school studnets we are too used to squares of linears only and if this was asked, few would be...

Find all real x, such that x^4 + 2x^3 + 3x^2 + 2x = 10

lol i dont think you are allowed rearrangment/c-s/majorisation. i dont even think am-gm-hm is allowed unless you prove them.

nice soln, thats the way. its like the first inequality they chuck at you every maths camp. i asked my school maths teacher and he solved it really quick. james ruse gets higher UAIs than every other school because james ruse is overall better than every other school at maths by a fair margin...

try this inequality: Prove that for all integers n >= 1 (n+1)^n >= (2^n) * (n!)

Personally, I think Desargue's is quite cool and i have only ever used it once, so its pretty rare. here is the problem. ABC is a non-isosceles triangle with incenter I. The smaller circle through I tangent to CA and CB meets the smaller circle through I tangent to BC and BA at A' (and I). B'...

lol whats all this i hear about, guys and girls hooking up at maths camp?

sdd is great!, we had this teacher, who let us play games all the time and we only studied for tests at home before the exams for like a week. the theory is heaps repetitive, like, really what it comes down to in the actual hsc is for you to be able to bs and bs well. my class had not done any...

history/geo are just bad, its just so boring. so boring. cant wait until the sc is over.