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Find 6 integer solutions for x and y such that: x2+2009=y2

Yep. 1+1=Your IQ

Yeah I figured it out... Thanks :D

lol, I'm lost... Could anyone else explain it? I mean, I could do this graphically I guess... ie. by sketching y = 2x<sup class="moz-txt-sup">3</sup> - 9x<sup class="moz-txt-sup">2</sup> + 12x (showing all stat points) against y=k and then by noting where the graphs intesect 3 times... But IMO...

Could someone please help me with this question? The polynomial P(x) is given by P(x)=2x<sup class="moz-txt-sup">3</sup> - 9x<sup class="moz-txt-sup">2</sup> + 12x - k (where k is real). Find the range of values for k for which P(x)=0 has 3 real roots. Thanks

Just multiply what you have by 'i' and it should yield the result you desire.

Okay then... Consider a ball being thrown upwards. Assuming there is no air resistance, does the ball stop (for a very short finite amount time) at the top of flight?

lol, my school has 1 general class, 2 2U classes, technically 4 Ext 1 classes, and 1 Ext 2 class. It doesn't mean that much because one of the extention 1 classes have 4 people (The one I'm in), another has 6 people and the rest have around 15 (one of them is also a Year 11 accelerated class...

I don't get why you can just assume the result for k+1, isn't that what we're trying to prove?

Hmm, can you do that?

Hmm, I think that's different from what I got. Anyone else?

Prove by mathematical induction that (3n+1)(7n) - 1 is divisible by 9 for all integers n≥1. Thanks

Hmm my bad then. Bad memory.

I have 20 per cycle... ie. 16.3 hrs lol

Hi, I recall when we were doing an esterification prac in class, we used a reflux column/condenser and then attached to the end of it a water-cooled condenser and we got condensed some stuff out of the mixture into a separate beaker (this was a long time after we heated the mixture). I forgot...

Yeah... But if it's pH 7, then phenolphthalein will still be clear and show no colour changes... so...?

One of our teachers teach it (IMO he's one of the best in the state), the others don't and instruct students to do it the long way. Also, you can use the 3 variable product rule. ie. If y=uvw, then y'=u'vw+uv'w+uvw' ... Apparently it's a 4U result, but I've never had to use it yet. Hmm

Hi, I understand that the range for Phenolphthalein is pH 8.3 - 10 But when titrating a strong acid and base (eg NaOH and H2SO4) the product will be pH 7... so I don't understand why you can use phenolphthalein for this. Could someone please explain it for me? Thanks

Yes, they do. I know someone there who does 2U. Apparently the candidature is like 20 or 30 for 2U only though.

That'd be right then, because the teacher who wrote it loves that book. lol