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x^2-4y^2+8x-24y-24=0

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classify the conic section

asked Nov 30, 2013 in ALGEBRA 2 by mathgirl Apprentice
reshown Nov 30, 2013 by goushi

1 Answer

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The equation is

The conic section is a hyperbola since x2  and y2  have opposite signs.

To change the expressions (x 2 + 8x) and (y 2 + 6y) into a perfect square trinomial,

add (half the x coefficient)² and add (half the y coefficient)² to each side of the equation.

Divide each side by 4 .

Now it is in the form of horizontal hyperbola  image.

answered Aug 20, 2014 by david Expert

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