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Math Help - quadradic equation

  1. #1
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    quadradic equation

    Given that the equation below has equal roots, find the value of k:

    kx - 4x + k - 3 = 0

    I've never seen this before. how would it be done?
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    Hello,
    Quote Originally Posted by db5vry View Post
    Given that the equation below has equal roots, find the value of k:

    kx - 4x + k - 3 = 0

    I've never seen this before. how would it be done?
    Do you know about the discriminant \Delta ?

    If \Delta>0, then there are 2 distinct real roots.
    If \color{red} \Delta=0, then there are 2 equal real roots (and the polynomial is proportional to a perfect square)
    If \Delta <0, then there is no real root.


    In a polynomial ax+bx+c, the discriminant \Delta=b^2-4ac
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