## problem how to find solutions to hyperbola equation

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mathpatient
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### problem how to find solutions to hyperbola equation

A problem I have asks for the equations for the asymptotes of a hyperbola with this equation:

[(x-3)^2/81] - [(y+7)^2/49] = 1

The answer given is:

(-18, -7); (0,-7)

I don't understand this because it does not appear to correspond to the center or the foci of the hyperbola.
Nor does it match an equation for an asymptote.

Can someone see how this might be solved or is this a publishing error for the answer? thanks for your help

nona.m.nona
Posts: 288
Joined: Sun Dec 14, 2008 11:07 pm
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### Re: problem how to find solutions to hyperbola equation

A problem I have asks for the equations for the asymptotes of a hyperbola with this equation:

[(x-3)^2/81] - [(y+7)^2/49] = 1

The answer given is:

(-18, -7); (0,-7)

I don't understand this
You are quite correct that these points cannot possibly be the required equations of asymptotes. In fact, these points seem to be utterly unrelated to the posted conic. It may be surmised that the solution is an error of some sort. Your instructor may have the errata sheet for your textbook, which should provide corrections.