SOLUTION: The sum of the squares of two numbers is 4, and the difference of their squares is also 4. Find the numbers.

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Question 377413: The sum of the squares of two numbers is 4, and the difference of their squares is also 4. Find the numbers.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%5E2%2By%5E2=4
2.x%5E2-y%5E2=4
Add the equations together,
2x%5E2=8
x%5E2=4
highlight%28x=0+%2B-+2%29
Then use either equation to solve for y.
4%2By%5E2=4
y%5E2=0
highlight%28y=0%29