HSC Mathematics Marathon (1 Viewer)

[seanieg89]

Yep thats what I did.
Haha i shouldn't say yes, I have a thesis to complete within the next three weeks that I've been majorly procrastinating. Where are these from though? Are they easier olympiad questions? Or hard 4U questions?

 

[largarithmic]

Yep thats what I did.
Haha i shouldn't say yes, I have a thesis to complete within the next three weeks that I've been majorly procrastinating. Where are these from though? Are they easier olympiad questions? Or hard 4U questions?

The first question I posted is probably strictly more an easy olympiad question, until it turned up in my trial last month. The question expressed in terms of simultaneous equations is a proper olympiad question (from an Asia-Pacific mathematics olympiad a few years ago, I think) and the one I was thinking of posting now is completely non-HSC since it involves number theory. If you're interested, here it is:

Let p be a prime s.t. p >= 5. Prove that if:

where a and b are integers, then p^2 divides a.

 

[dionb2014]

5x^2+5x+5=0 factorize

 

[apollo1]

5x^2+5x+5=0 factorize

wtf lol.

 

[dionb2014]

could you use the quadratic formula?
I was trying to work out the x intercepts for a parabola

 

[apollo1]

5x^2+5x+5=0 factorize

 

[dionb2014]

So how do I find the x intercepts of the parabola when putting y equal to 0

 

[hup]

So how do I find the x intercepts of the parabola when putting y equal to 0

you wait until yr 12

 

[dionb2014]

I am

 

[dionb2014]

jokes jokes

 

[dionb2014]

anyone, How do I find the x intercepts

 

[Alkanes]

Are you trolling?

 

[dionb2014]

No why would I troll?
I honestly want the answer, I've been trying all day and watched videos and everything so can anyone help me.

 

[dionb2014]

please

 

[oyuck]

5x^2+5x+5=0 factorize

You can factorise over the complex field.

 

[Alkanes]

+1 This is a 4U thread. So 4U methods must be used.

 

[dionb2014]

*face palm. I should probably pick another thread

 

[dionb2014]

sorry if I wasted any of your time

 

[bleakarcher]

lol, set y=0 as the equation of the x-axis is y=0

 

[dionb2014]

Yeah I have done that it's just I fail when I try and solve it as a quadratic.