SOLUTION: Find the exact solution(s) of this system of equations x=-(y-3)^(2)+2 x=(y-3)^(2)+3

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Question 293628: Find the exact solution(s) of this system of equations
x=-(y-3)^(2)+2
x=(y-3)^(2)+3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x=-(y-3)^(2)+2
x=(y-3)^(2)+3
---------------- Add
2x = 5
x = 2.5
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y^2 - 6y + 9 + 3 = 2.5
y^2 - 6y + 9.5 = 0
y = 3 ± sqrt(36 - 38)/2
y = 3 ± i*sqrt(2)/2
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No real solutions.