Welcome to the 2018 Maths Ext 2 Marathon
Post any questions within the scope and level of Mathematics Extension 2. Once a question is posted, it needs to be answered before the next question is raised.
This thread is mainly targeting Q1-15 difficulty in the HSC.
Q16/Q16+ material to be posted here:
http://community.boredofstudies.org/...-advanced.html
I encourage all current HSC students in particular to participate in this marathon.
Have fun ^_^
Note: For quick access to previous year's marathons:
http://community.boredofstudies.org/...urce-list.html
Unanswered question from 2017 marathon:
Last edited by Sy123; 18 Oct 2017 at 4:59 PM.
i) x^2+y^2=1
ii) x^2+(y-im(z))^2=1
I've probably misinterpreted the question given it does seem overly simple
if (x+iy)(a+ib) = b+ia, express x,y in terms of a,b
thank you!!
find x,y if
2z/(1+i) - 2z/i = 5/(2+i)
can't seem to get it,, do I sub x+iy later
E+ni is a root for ax2+bx+c=0
where a and b and c are real
show that an^2 =aE^2 + bE +c
so I figured that the other root is E-ni but I've tried using product of roots, but can't seem to prove this :/
how do i divide x^3-2-2i by x+1-i
2017 HSC: English Adv - Maths Ext 1 - Maths Ext 2 - Chemistry - Physics
2018: UNSW Commerce / Computer Science
Offering tutoring for 2U and 3U Maths around North Shore area, PM me for details.
if cube root (x+iy) =X+iY show that 4 (X^2-Y^2) = x/X + y/Y
thank you so much!!
rove by Induction that z1+z2+zn = z1 +z2 +zn
where the LHS has a big conjugate line on the top and RHS has small conjugate lines
edit: solved
Last edited by sssona09; 8 Nov 2017 at 6:47 PM.
find z suvh that (Im)z=2 and z^2 is real
thank you
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Uni Course: Actuarial Studies and Statistics at MQ -- PM me if you have questions
2017 HSC Subjects: Eng Adv / 3u+4u Maths / Bio /Phys
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