Theres been a mistake in my second equation:
It should be
if (x^2+y^2)/xy < 2 could it be optimised as (x-y)^2 < 2?
Another very very fundamental question:
If an equation equates to something then it is not an inequality. Sounds duh, but for clarifications sake....
i.e if p/q < r/s then the rule applies, but if p/q = r/s then pq=rs.
Am i Correct here????
i must have misread what you typed
i can't go any further than that. how are you arriving at (x-y)^2?
(x-y)^2 = x^2-2xy+y^2
if we put it over /xy
x^2-2xy+y^2 / xy <2
x^2-2xy+y^2 <or> 2xy
x^2-4xy+y^2 <or> 0
nothing is really useful coming out of it... i dunno??
you have either ps<qr>qr. which isn't useful in any situation that i can think of. this is because we do not know if s,q are - or +
when they use an equal sign it is an equality; so what is on the left will always = whats on the right.