SOLUTION: Solve the systems of equations algebraically, test each solution for validity, and then graph the system to check your number of solutions: x^2-2y^2=2 xy=2

Question 1161845: Solve the systems of equations algebraically, test each solution for validity, and then graph the system to check your number of solutions:
x^2-2y^2=2
xy=2
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Solve the systems of equations algebraically, test each solution for validity, and then graph the system to check your number of solutions:
...eq.1
...eq.2
------------------------------
...eq.2........solve for x
..eq.2a

go to
...eq.1, substitute
... solve for
....both sides multiply by

......both sides divide by
....factor

solutions:
if ->
if ->
if ->-> = ± = ±
go to ...eq.2a , substitute

or
, substitute

real solutions are:
,
and
,

test each solution for validity:
.......,

-> solution valid

........,

-> solution valid

graph:

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