SOLUTION: (#7) Question: Solve the system: x^2+y^2=20 x^2-2y^2=8 Answers: (A) (04,2) (-4,-2) (B) (1, sqrt19) (-1, -sqrt19) (-1 sqrt 19) (-1. -sqrt 19) (C) (4,2) (4, -2) (D) (

Question 30544: (#7) Question:
Solve the system:
x^2+y^2=20
x^2-2y^2=8
Answers:
(A) (04,2) (-4,-2)
(B) (1, sqrt19) (-1, -sqrt19)
(-1 sqrt 19) (-1. -sqrt 19)
(C) (4,2) (4, -2)
(D) (4,2) (4, -2)
(-4,2) (-4, -2)
Please be specefic as to which letter answer is correct.
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
Solve the system:
x^2+y^2=20 ----(1)
x^2-2y^2=8 ----(2)
(1) - (2)
(x^2-x^2)+[y^2- (-2y^2)] = 20-8
0 +(y^2+2y^2) = 12
3y^2 = 12
y^2 = 12/3= 4
y = +2 or -2
Putting y^2 = 4 in (1)
x^2+4 = 20
x^2 = 20-4
x^2 = 16
x= +4 or -4
Answer: (4,2),(4,-2), (-4,2) and (-4,-2)
which is your choice
(D) (4,2) (4, -2)
(-4,2) (-4, -2)

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