SOLUTION: Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18

Question 814840: Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18
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3x^2+6y^2=18
divide by 18
x^2/6+y^2/3=1
ellipse has a horizontal major axis
center:(0,0)
a^2=6
a=√6≈2.4
vertices=(0�a,0)=(0�√6,0)=(-2.4,0) and (2.4,0)
..
b^2=3
b=√3
..
c^2=a^2-b^2=6-3=3
c=√3
..
foci=(0�c,0)=(0�√3,0)=(-1.7,0) and (1.7,0)
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