SOLUTION: What is the conic intersection of the system of equations.. x^2 + y^2 = 25 x + y = -7

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Question 553895: What is the conic intersection of the system of equations..
x^2 + y^2 = 25
x + y = -7
Answer by lwsshak3(11628) About Me  (Show Source):
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What is the conic intersection of the system of equations..
x^2 + y^2 = 25
x + y = -7
..
y=-x-7=-(x+7)
x^2 + -(x+7)^2 = 25
x^2+x^2+14x+49-25=0
2x^2+14x+24=0
x^2+7x+12=0
(x+3)(x+4)=0
x=-3
y=-4
or
x=-4
y=-3
..
Points of intersection:
(-3,-4) and (-4,-3)