How do you prove that x^2+y^2-2xy+x-y+1 is greater than 0?

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- March 10th 2013, 03:11 AMRuyHayabusaProving
How do you prove that x^2+y^2-2xy+x-y+1 is greater than 0?

- March 10th 2013, 03:26 AMProve ItRe: Proving
You can't.

All that you can say for sure is that is nonnegative. The entire quantity will only be positive if , which you are not guaranteed. - March 10th 2013, 07:25 AMNehushtanRe: Proving
- March 10th 2013, 10:41 AMMINOANMANRe: Proving
Excellent proof ...My congratulations to Nehushtan

Minoas