SOLUTION: Find the equation of the ellipse having the center at (2,2) the focus at (-1,2) and the semi-major axis is the square root of 10.

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Question 874546: Find the equation of the ellipse having the center at (2,2) the focus at (-1,2) and the semi-major axis is the square root of 10.
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the equation of the ellipse having the center at (2,2) the focus at (-1,2) and the semi-major axis is the square root of 10.
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Given data shows ellipse has a horizontal major axis
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h.k)=coordinates of center
center: (2,2)
b=√10
b^2=10
c=3
c^2=9
c^2=a^2-b^2
a^2=c^2+b^2=19
%28x-2%29%5E2%2F19%2B%28y-2%29%5E2%2F10=1