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Math Help - Hyperbola Short Question

  1. #1
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    Hyperbola Short Question

    Vertex at (6,5), conjugate axis along the x - axis asymptotes 5x - 6y - 30 and 5x + 6y - 30 = 0
    My answer: (y-5)^2 / 25 - (x-6)^2 / 36
    The book's answer: (y^2) / 25 - (x-6)^2 / 36

    who is correct?
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  2. #2
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    Hello, ^_^Engineer_Adam^_^!

    Sorry, the book is correct . . .


    Vertex at (6,5), conjugate axis along the x - axis
    asymptotes: 5x - 6y - 30 and 5x + 6y - 30 = 0

    My answer: .(y - 5)/25 - (x - 6)/36 .= .1

    The book's answer: .(y)/25 - (x - 6)/36 .= .1

    Who is correct?

    You used (6,5) as the center . . . and it's a vertex.

    The two asymptotes intersect at the center.
    . . 5x - 6y - 30 .= .0
    . . 5x + 6y - 30 .= .0

    Solve the system: the center is at (6,0).

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