I need to know where I messed up and how to get the right answers for the center, foci, major & minor axes.
The Original Equation:
36x^2 - 100y^2 - 72x + 400y = 3964
Factored:
18(2x^2 - 4x) - 100(y^2 + 4y) = 3964
After I add (-4/2)^2 and (4/2)^2 to the left side and 36 & -200 to the left:
18(2x^2 - 4x + 2) - 100(y^2 + 4y + 2) = 3964 + 36 -200
After I divided by 3800 on both sides:
(x-2)^2 - (y+2) = 1
----------- -----------
100 9
Last Format:
(x-2)^2 - (y - (-2))^2
---------- -------------- = 1
10^2 3^2
So I got a=10 b=3 h=2 and k= -2
So for the center = (2,-2)
Foci Points = (2-sqrt(109), -2) & (2+sqrt(109), -2)
and the major and minor axises: 20, minor=6
WHERE DID I GO WRONG???
I realize it seems like a lot, but it would mean so much. I finally thought I was getting math and everything "went wrong". I overlooked it myself more then 10 times and didn't catch anything. Please, I beg of you, explain what I did. Thank you very much!!!
Merry CHRISTmas!
2007-12-16
09:55:51
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3 answers
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asked by
Anonymous