SOLUTION: Find the vertices of the ellipse 144x^2 + 169y^2 + 864x

SOLUTION: Find the vertices of the ellipse 144x^2 + 169y^2 + 864x - 23760 = 0.

Question 1081937: Find the vertices of the ellipse 144x^2 + 169y^2 + 864x - 23760 = 0.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the vertices of the ellipse 144x^2 + 169y^2 + 864x - 23760 = 0.
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144(x^2+6x+9) + 169y^2 = 23760+144*9
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144(x+3)^2 + 169(y-0)^2 = 25056
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(x+3)^2/174 + (y-0)^2/148.26 = 1
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Center:: (3,0)
semi-major axis:: sqrt(174)
semi-minor axis:: sqrt(148.26)
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Left-vertex:: (3-sqrt(174),0)
Right-vertex:: (3+sqrt(174),0)
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Cheers,
Stan H.
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