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because p is real, the roots are in conjugate pairs. now conjugate pairs have the same moduli. you also know that for roots R1 and R2, R1R2 = 1. |R1R2| = 1 now |R1|=|R2| therefore, |R1| = 1 hence, the roots of P(x)=0 have the same moduli 1.

i still can't believe you're taking all this time to type up the solutions. i'd just hand-write and then scan. or not bother at all :rofl:

[Tutoring] 2015 update! My background: 200+ students taught since 2008. Scholarship to Usyd Com/Law. Two state rankings (100 in Ext1 maths and 99 in Ext2 maths). Mid-90s for all my other subjects including English. Contact me at swan4011@uni.sydney.edu.au for all inquiries. Tutoring is...

in a Michi or DM game, one basically has too many resources to be able to spend it on cheap units like halberdiers. it takes at least 2v1 to take down an elephant, and so what if u got 60 elephants? (which is entirely plausible) you'll need 120 halberdiers. which is somewhat stretching...

yeah awesome game, though at times bit stupid with the inbalanced units. e.g. Koreans with onagers that is like a movable trebuchet and 100% accurate. Spanish cannon galleons invincibility, because their cannons are instant, unlike other civs where the cannons take like 3 seconds to hit...

it's pretty shit album. by anyone's standards. and it's not just because it's different. only 1 song is a different style.

major bump:)

what was your rank for adv? (in state)

Bump Up My Post I trust anybody can benefit from my tutoring - basically, if you want a head start on learning the topics before your school (or at least familiarising), you can learn some valuable techniques on solving problems which your school won't teach you (or even coaching schools for...

i think the discriminant method is inherently flawed, in that when the thing you're doing it on is not a function, x-discriminant method fails (without careful reasoning), and similarly if it is not a one to one function, the y-discriminant method sometimes fails. here the reasoning of why...

Hey guys I just finished my HSC! At the moment, I am tutoring students in Maths only (Year 7-11, HSC 2unit, ext1 and ext2) I graduated from Fort Street High School this year (2007), with 1st rank in Ext2 maths (117/120 in trials), and 1st rank in Ext1 (82/84 in trials, and dropped just those...

the meissner effect is a consequence of lenz's law: the initial relative motion between the magnet and the superconductor sets up the eddy current (according to Lenz's law). remember that there is no resistance, this means 1. theoretically the current would be infinitely large, creating an...

anyone know why this question was cancelled? the earth can be seen to be travelling, relative to the spaceship, at 0.8c, so it would appeared to have travelled [for] 16.7 years. so what's wrong with D? (the official answers say B)

gravitons

well you just said so yourself, given that the cos of the angles are equal, the angles themselves must also be equal. (and hence similar since you have a right angle already)

however since the angle given is a right angle, i believe it doesn't need to be the included angle for a similarity test? much like the RHS congruency proof.

Re: General Thoughts - Maths Extension 2 the answer of pi²/2 is correct. and it's probably steph's guess, though that's likely to be accurate. hey trebla, you haven't seen the paper right?

Re: General Thoughts - Maths Extension 2 definitely. expect to see lots of ties for full marks :)

Re: General Thoughts - Maths Extension 2 fort street

Re: General Thoughts - Maths Extension 2 conics went out with a bang. lots of people are predicting 115+ at my school, surely someone will get full marks this time around.