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HSC 2013 Maths Marathon (archive) (1 Viewer)

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ColdLipstick

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Re: HSC 2013 2U Marathon

I know it's a very 'shonky' proof/deduction lol... How could I improve it? View attachment 28805
If I was marking this, I would give it full marks.
If you want to 'improve' it, I guess you should focus more on the fact that perfect squares cannot have a difference of 1 as that is the heart of the solution.

Well done.
 

nerdasdasd

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Having problems with this question, so easy, but can't get the answer.

The sum of 50 terms of an arithmetic series is 249 and the sum of 49 terms of the series is 233. Find the 50th term of the series.

I used simultaneous equations to find d, and from that , I got a.
 

RealiseNothing

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Re: HSC 2013 2U Marathon

Why is everyone using simultaneous equations to find 'd' fuck.
 

Menomaths

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Re: HSC 2013 2U Marathon

What topic does the parabola, vertix, directric etc come under? Can't seem to find it in my book
 

Sy123

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Re: HSC 2013 2U Marathon

lol what's with you and functional equations recently?
I've got secret insider information into the contents of the exams next week








and I'm trying to sabotage you all
 

Trebla

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Re: HSC 2013 2U Marathon

What topic does the parabola, vertix, directric etc come under? Can't seem to find it in my book
In the syllabus it falls under 'The Quadratic Polynomial and the Parabola'
 

Menomaths

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Re: HSC 2013 2U Marathon

In the syllabus it falls under 'The Quadratic Polynomial and the Parabola'
Found it :)

Damn this looks scary considering I've never seen this topic of maths before
 

Klaymen

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Re: HSC 2013 2U Marathon

Sorry if I make mistakes with the editing and such, I'm a noob on this website - as you can probably tell by my attempt at using


or
But is undefined,
Therefore


A nice question I saw in a textbook (not sure if textbook questions are allowed here; it's from SK Patel's book):

If (alpha) and (beta) are the roots of
,
find the equation whose roots are (alpha) - (beta) and (beta) - (alpha).
 
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