SOLUTION: The circle whose equation is x2+y2=2, and the line y=x+4 do not intersect.

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Question 349876: The circle whose equation is x2+y2=2, and the line y=x+4 do not intersect.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.+x%5E2%2By%5E2=2
2.y=x%2B4
From eq. 2,
y%5E2=%28x%2B4%29%5E2=x%5E2%2B8x%2B16
Substitute into eq. 1,
x%5E2%2Bx%5E2%2B8x%2B16=0
2x%5E2%2B8x%2B16=0
x%5E2%2B4x%2B8=0
There are no real solutions to this quadratic equation.
This shows that eq. 1 and eq. 2 do not intersect.
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Graphical verification
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