a,b and c are real values satisfying a+2b+3c=195 and a^2+b^2+c^2=2925. The maximum value of a has the form p/q . What is the value of p+q?
@LolWolf

Question

anonymous · Answer

What are you able to use in solving these? I see no elementary way of doing such... maybe I'm missing something entirely, but the only way I can solve this would be using elliptic curves.

anonymous · Answer

*I can see in solving this

anonymous · Answer

Just wondering, what are these problems for?

anonymous · Answer

Hm...
Here's where I'm at:
$$
3120-b(b+2)-c(c+3)\equiv0\!\!\mod p\
\frac{p}{q^2}(p+q)=3120-b(b+2)-c(c+3)\
$$Where $p, q\in \mathbb{Z}$ and $\gcd(p,q)=1 $.

anonymous · Answer

Sorry to take ur time... Of no use because i'm in class 12 currently.. don't know elliptic curves either...

anonymous · Answer

It's all right, I need to go, anyways, if you can solve it, awesome; I'd recommend calling the other guys over, though.