Question 194535
1)   4x^2 -2y^2  =  2
2)   -x^2 +y^2 = 2,,,,,y^2 = X^2 +2
subst  into  (1)
4x^2 -2(x^2 +2) = 2
4x^2 -2x^2 -4 = 2
2x^2 = 6
x^2 = 3
x= sqrt3,,,,,ANSWER
subst  in  (2)
y^2  = (sqrt3)^2 +2 = 3 +2 = 5
y = sqrt 5,,,,,ANSWER
,
 checking
1)  4*sqrt 3^2 -2*sqrt5^2 =2,,,,4*3 -2*5 = 2,,,2=2,,,ok
2)  -(sqrt3)^2 +(sqrt5)^2   =  2,,,,-3+5 = 2,,2=2,,,,ok