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Re: HSC 2014 4U Marathon I don't know if this is correct

Re: HSC 2014 4U Marathon what is a primitive nth root of unity?

Re: HSC 2014 4U Marathon Solution attached

Re: HSC 2014 4U Marathon I have no idea how to do any of these inequalities

Re: HSC 2014 4U Marathon Just started conics today, did the area proof only

Re: HSC 2014 4U Marathon Using sum and product of roots and through some manipulation you get; α=-1,β=-1,γ=1. Also α, β, γ can all equal 0 as well.

Re: HSC 2014 4U Marathon Had a go at making a question

Soooooo gutted! Going to be away from sydney :(, would of loved to attend. If only it was on friday..........................

Re: HSC 2014 4U Marathon Nice question yet again! Here's what I did

Re: HSC 2014 4U Marathon Very nice question! , part (iii) should be proving the result by induction haha

Re: HSC 2014 4U Marathon and for the area enclosed by the 5th, 6th, ... roots of any complex number, does the area approach the area of the circle dependent on what the modulus is or does that only happen to complex numbers with modulus 1, only generalisation I've come up with.

Re: HSC 2014 4U Marathon The roots all have modulus 1 and by plotting them on a unit circle forms a rectangle, width 1 and length √3. Area spanned by roots is √3 x 1 = √3 units.

Re: HSC 2014 4U Marathon Given the limited information, I had a crack at it. This is what I manage to salvage

Re: HSC 2014 4U Marathon oh idk but for some reason forums bugged on my screen when i posted

Re: HSC 2014 4U Marathon Screen shot 2014-01-08 at 2.32.53 AM.png download - 2shared what i intended on posting be4 ^ not sure if chat bugged cause i can only see parts of my posts and cant edit nor upload

Re: HSC 2014 4U Marathon Wtf why doesnt it post the whole text?!

Re: HSC 2014 4U Marathon This was what I was intending to post "I don't know how to latex but, for the second question, is the area overlapping = area of square - area of triangle = (√2)^2 - 1/2(√3)(3/2) = 2 - (3√3)/4units. In regards to the first question, I have no idea where to start but I...

Re: HSC 2014 4U Marathon why doesnt it edit wtf

Re: HSC 2014 4U Marathon I don't know how to latex but, for the second question, is the area overlapping = area of square - area of triangle = (√2)^2 - 1/2(√3)(3/2) = 2 - (3√3)/4units. In regards to the first question, I have no idea where to start but I was thinking if we consider a complex...

Re: HSC 2014 4U Marathon How do I evaluate this without l'hopital's?