AugiTh wrote:

"KNOCK KNOCK"

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????

for I

i must have misread what you typed

x^2+y^2/xy <2

(x+y)(x-y)/xy <2

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??

forII

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.