parmenides51 14.08.2024 00:29 Find all pairs of real numbers $(x, y) $ such that: a) $x\ge y\ge1$ b) $2x^2-xy-5x +y + 4 = 0 $
alexheinis 14.08.2024 02:45 We have $2x^2-xy-5x+y+4=(x-2)^2+(x-y)(x-1)\ge 0$ and equality iff $x=y=2$.