SOLUTION: what are the solutions to the nonlinear of equations below? check all that apply x^2+y^2=4 x^2/2^2-y^2/2^2=1

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Question 356851: what are the solutions to the nonlinear of equations below? check all that apply
x^2+y^2=4

x^2/2^2-y^2/2^2=1

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
x%5E2%2F2%5E2-y%5E2%2F2%5E2=1 is the sames as
%28x%5E2%2F4%29-%28y%5E2%2F4%29=1 or x%5E2-y%5E2=+4
.
adding x%5E2%2B+y%5E2=4 and x%5E2-y%5E2=+4
2x%5E2+=+8
x%5E2+=+4
x = +- 2
y = +- 2