SOLUTION: if 3x^2 - y^2 = 4 and xy = 2 find x and y

Question 994118: if 3x^2 - y^2 = 4 and xy = 2 find x and y
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
can be substituted into .....
....

That is likely factorable, having discriminant of 64.

OR

If you want Real numbers, then your is not useful for a solution . You then work with the x^2=1 to find or .

Finishing in finding y:
-

and the other result gives for .

SUMMARY:
(-1,-2) or (1,2).
Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!
if 3x^2 - y^2 = 4 and xy = 2 find x and y

Imaginary roots also exist!
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