HSC 2016 MX2 Marathon (archive) (3 Viewers)

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LMBPFEK

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Re: HSC 2016 4U Marathon

Does anyone have any difficult questions?
 

LMBPFEK

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Re: HSC 2016 4U Marathon

I'd hardly call that absolute value question a "difficult" question, does anyone have any hard questions that they couldn't solve?
 

leehuan

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Re: HSC 2016 4U Marathon

I'd hardly call that absolute value question a "difficult" question, does anyone have any hard questions that they couldn't solve?
Prove Fermat's Last Theorem by induction.
 

KingOfActing

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Re: HSC 2016 4U Marathon

I'd hardly call that absolute value question a "difficult" question, does anyone have any hard questions that they couldn't solve?
Paradoxica and I proved this one together a while back. It's a bit out of scope for 4U I think, but if you're determined you can prove it using just 4U methods.

 

InteGrand

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Re: HSC 2016 4U Marathon

Can someone explain this one? I can't do it.
You can analyse it separately in the intervals x < 0, 0 ≤ x ≤ 2, x > 2; this lets us get rid of absolute value signs in each interval.
 
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