Hi guys, I'm new. I'm somewhat limited on my mathematical terms, so please go easy on me(I referred annular circles(or whatever it is called) as donut circles before actually knowing what is it called).
Eh, I found this somewhere, tried it, but it got irritating after a while(2 weeks, that is). The equation is obvious, but I am missing something.
Given that a>0, b>0 and a+b=1, prove that
(a+(1/a))^2 + (b+(1/b)^2 is greater or equal than 25/2
From the conditions and equation given, one can pretty much see that the equation is correct. But I tried proving it through algebriac means(Calculation, also known as 'hammering' the problem)... and umm... well... x_x