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Question 656600: x^+y^-4x+18y= -69
Write the equation of the circle in standard form. Find the center, radius and intercepts
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! x^+y^-4x+18y= -69
Write the equation of the circle in standard form. Find the center, radius and intercepts
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x^2+y^2-4x+18y= -69
complete the square
(x^2-4x+4)+(y^2+18y+81)= -69+4+81=16
(x-2)^2+(y+9)^2=16
center: (2,-9)
radius=√16=4
..
x-intercepts
set y=0
(x-2)^2+(y+9)^2=16
(x-2)^2+81=16
(x-2)^2=-65
x-2=±√-65
x=2±√-65=2±√(65) i
x-intercept:none
..
y-intercepts:
set x=0
(x-2)^2+(y+9)^2=16
4+(y+9)^2=16
(y+9)^2=12
y+9=±√12
y=-9±√12
y≈-12.46 and -5.5
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