College stress

So apparently all the schools I'm looking at require an SAT II in science.

Which means I'm screwed. Royally.

I'm pretty damn good at math, and really just terrible at all sciences. My friend told me that the Physics one is pretty hard, but that's the only one I would have a shot at. Honestly, It was a miracle that I didn't fail biology and chemistry. I somehow pulled off high C's when I clearly deserved much less.

Scholarships, financial aid, deadlines, my retarded french guidance counselor. I'm just feeling overwhelmed. I was expecting my parents to help me out with most of this and apparently they were expecting me to stick up for myself and do most of the work.

I am now thoroughly depressed and stressed out. Don't expect any math problems in the near future. T_T

Applying to MIT + Number theory problem

So I've decided to include a link to this blog on my application to MIT..it's definitely a stretch, but my heart is in the right place. That means two things. 1) I'll be buffing this thing up with problems in the next few months. 2) No more rants riddled with swears. I'll also have to go clean up those old ones too, sorry folks!

What folks, nobody reads this....

And if you're from MIT, please let me into your school and shower me with financial aid. I truly deserve it. =D And I need a cat friendly dorm for my sweet kitty!!!

Ok, here's a problem:

Find all positive integers (x,y) such that



I've seen so many of these problems that I'm sick of them. If there's a Diophantine equation on the USAMO this year and I get it wrong, I'm going to smack myself upside the head.





So one factor is 71 and the other is 1 (71 is prime). It doesn't matter how we set them equal...adding them together still yields:



(remember, only positive integers)

Substituting this into the previous ones gives two answers for y, we're only interested in the positive one. It turns out to be 35. Our final solution is (6,35)