Question

Information about the foci and vertices of an e Foci: (0,+-3), Vertices: (0,+-10) 

          Information about the foci and vertices of an e Foci: (0,+-3), Vertices: (0,+-10)

Added by Emilio F.

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Information about the foci and vertices of an e Foci: (0,+-3), Vertices: (0,+-10)
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Transcript

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00:01 Hello friends, in this question we are given with the equation x squared plus 3y squared plus 2x minus 12y plus 10.
00:09 So, we can write this equation into x squared plus 2x plus 1 plus 3 times of y squared minus 4y plus 4 minus 3 which is equal to 0.
00:23 So, we can write this equation into x plus 1 the whole squared plus 3 times of y minus 2 the whole squared which is equal to 3.
00:32 So, it further can be written as x plus 1 the whole squared divided by 3 plus y minus 2 the whole squared divided by 1 which is equal to 1.
00:42 So, finally that is x plus 1 the whole squared divided by root 3 to the power 2 plus y minus 2 the whole squared divided by 1 squared which is equal to 1 which is in the form of x minus h the whole squared divided by a squared plus y minus k the whole squared divided by b squared which is equal to 1 where a is greater than b and b is greater than 0.
01:14 So, center h comma k which is minus 1 comma 2 where c which is equal to square root of root 3 the whole power 2 minus 1 which is equal to root 2...
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