SOLUTION: The Vertex and Foci of curve y^2-8x-6y-23=0 is at? with graph.

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Question 1172361: The Vertex and Foci of curve y^2-8x-6y-23=0 is at? with graph.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2-8x-6y-23=0
y%5E2-6y=8x%2B23
complete the square, y%5E2-6y%2B9=8x-23%2B9
%28y-3%29%5E2=8x-14
%28y-3%29%5E2=8%28x-14%2F8%29
%28y-3%29%5E2=8%28x-7%2F4%29
highlight_green%28%28y-3%29%5E2=8%28x-1%263%2F4%29%29

Vertex at ( 1%263%2F4,3 ), and focus ( 4%261%2F4, 3 ).










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Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
The Vertex and Foci of curve y^2-8x-6y-23=0 is at? with graph.
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The post by @josgarithmetic giving the vertex at  (7,3)  is  INCORRECT.

This point even does not belong to the curve.


For your safety,  simply ignore it . . .