SOLUTION: 2x+y=2 xy=6 (x,y)=?

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Question 964466: 2x+y=2
xy=6
(x,y)=?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
xy=6
x=6%2Fy
Substitute,
2%286%2Fy%29%2By=2
12%2Fy%2By=2
12%2By%5E2=2y
y%5E2-2y%2B12=0
y%5E2-2y%2B1%2B12=1
%28y-1%29%5E2=-11
y-1=0+%2B-+sqrt%2811%29i
y=1+%2B-+sqrt%2811%29i
So then,
2x%2B+1%2B+sqrt%2811%29i%29=2
2x=1-sqrt%2811%29i
x=%281-sqrt%2811%29i%29%2F2
and
x=%281%2Bsqrt%2811%29i%29%2F2
The solutions are,
(%281-sqrt%2811%29i%29%2F2,1+%2B+sqrt%2811%29i) and
(%281%2Bsqrt%2811%29i%29%2F2,1+-+sqrt%2811%29i)