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Math Help - y=(x^2-1)/(x^2+2x-1)

  1. #1
    Junior Member Singular's Avatar
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    y=(x^2-1)/(x^2+2x-1)

    y=(x^2-1)/(x^2+2x-1) is curve C

    1. Show(without drawing) that line y=p (p is not 1) will always cross the curve C in two section, point A and B?

    2. What should be the value of p so that point A and B always in the range of x>0?

    I have solved problem no.1 but I'm not sure for problem no.2

    Thanks
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  2. #2
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    Quote Originally Posted by Singular View Post

    2. What should be the value of p so that point A and B always in the range of x>0?
    I think you mean in the domain x>0.

    You need to find such p such that the equation,
    p=(x^2-1)/(x^2+2x-1)
    Have positive solutions.
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