$$x+y=7; 2x\cdot y=5$$
$x=\frac{\sqrt{39}+7}{2}\approx 6.622498999\text{, }y=\frac{7-\sqrt{39}}{2}\approx 0.377501001$
$x=\frac{7-\sqrt{39}}{2}\approx 0.377501001\text{, }y=\frac{\sqrt{39}+7}{2}\approx 6.622498999$
