SOLUTION: URGENT (HELP) HELP ME SOLVE THIS SYSTEM OF EQUATIONS 4X^2-Y^2=4 4X^2+Y^2=4

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Question 688987: URGENT (HELP)
HELP ME SOLVE THIS SYSTEM OF EQUATIONS

4X^2-Y^2=4
4X^2+Y^2=4
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


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Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2-y%5E2=4.........1
4x%5E2%2By%5E2=4.........2
_________________
4x%5E2-y%5E2=4.........1.....solve for y
y%5E2=4x%5E2-4.....plug in 2

4x%5E2%2B%284x%5E2-4%29=4.........2....solve for x
4x%5E2%2B4x%5E2-4=4.
8x%5E2=4%2B4
8x%5E2=8
x%5E2=8%2F8
x%5E2=1
x=sqrt%281%29
x=1 or x=-1

find y
y%5E2=4x%5E2-4...............plug in x=1
y%5E2=4%2A1%5E2-4
y%5E2=4-4
y%5E2=0
y=0

y%5E2=4x%5E2-4...............plug in x=-1
y%5E2=4%2A%28-1%29%5E2-4
y%5E2=4-4
y%5E2=0
y=0