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ArnoldXavier

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Joined: Dec 3, 2008
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i'm just checking this problem

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THIS IS A HYPERBOLA

16x^2-9y^2-64x-54y-161=0

i need to find half each length vertical and horizontal and the focal length

thanks
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[Edit 2 times, last edit by ArnoldXavier at Dec 3, 2008 3:35:07 PM]

[Dec 3, 2008 11:31:55 AM]

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pskinner

Joined: Apr 2, 2005
Posts: 694
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Re: i'm just checking this problem

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THIS IS A HYPERBOLA

16x^2-9y^2-64x-54y-161=0

i need to find half each length vertical and horizontal and the focal length

thanks

Let me just get you started. You need to rewrite this and put it into a standard form from which you can read off most of the information you need. To do that, you need to "complete the square":

So, 16x^2-64x=16(x^2-4x)=16(x^2-4x+4)-16*4

and

-9y^2-54y=-9(y^2+6y)=-9(y^2+6y+9)-9*9

Use this to rewrite and put into standard form. It is just a lot or writing after you have done "completing the square."
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Principal Skinner

[Dec 4, 2008 9:59:27 AM]

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