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Math Help - using the discrminant

  1. #1
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    using the discrminant

    Hi guys I'm having a bit of bother

    using the discrminant I've to find the values for p that mean the following can be true
    px-10+p=0

    and

    x+2p+1=2(p-1)x

    any help would be great, regards paul
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  2. #2
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    Quote Originally Posted by pauld View Post
    Hi guys I'm having a bit of bother

    using the discrminant I've to find the values for p that mean the following can be true
    px-10+p=0

    and

    x+2p+1=2(p-1)x

    any help would be great, regards paul
    Definition of discriminant: \Delta = b^2 - 4ac.

    px^2 + (p - 10) = 0: a = p, ~ b = 0, ~ c = p - 10.

    x^2 - 2(p - 1) x + (2p + 1) = 0: a = 1, ~ b = -2(p-1), ~ c = 2p + 1.

    In each case, substitute the values of a, b and c into the discriminant and solve \Delta \geq 0 (assuming you mean true for REAL values of x).

    If you need more help, please show the work you've done and where you get stuck.
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