HSC 2016 MX2 Marathon (archive) (4 Viewers)

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Sy123

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Re: HSC 2016 4U Marathon

Well done

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A more intuitive way of approaching part (ii) especially is to ask, "what does it mean for every complex number to be represented?"

Essentially, it just means that every complex number's argument and modulus can be represented, and the domains for both are not restricted.

Looking at the modulus of z, we see:



















 

Sy123

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Re: HSC 2016 4U Marathon

For questions of an appropriate difficulty and beyond the capabilities of most current 2016er 4U students (at this stage in which they only know Complex Numbers/Polynomials), take it to the Advanced Thread.

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This is at a reasonable difficulty (Q13-14)









 

leehuan

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Re: HSC 2016 4U Marathon

z^5-1=0 you mean?

Anyway, hints for ACTUAL 2016ers:
(i) Look at the question. What even are the values for z? Also, you should have been taught any 4u factorisation methods.
(ii)There are multiple ways of doing this, but if you're dumbfounded a simple (however potentially exhaustive, I haven't tried it out) method just uses a bit of Yr 11 3U...
(iv) Not as hard as it seems. ^2

(highlight)
 

Ambility

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Re: HSC 2016 4U Marathon

NEXT QUESTION for anyone in the 2016 cohort:


HINT IF NEEEDED (highlight): You will need to use the binomial expansion for a binomial of 6th degree.
 

Paradoxica

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Re: HSC 2016 4U Marathon

For questions of an appropriate difficulty and beyond the capabilities of most current 2016er 4U students (at this stage in which they only know Complex Numbers/Polynomials), take it to the Advanced Thread.

-----------------------

This is at a reasonable difficulty (Q13-14)









































 
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