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There are two postive integers c for which the equation 5x^2 + 12x + c = 0 has rational solutions. What is the product of those two values of c?

 Dec 13, 2020
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Look at the discriminant of the Quadratic fromula for this quadratic

sqrt ( 144 - 4(5)c) )

sqrt(144-20c)     is rational when c = 4  or 7    

  it becomes  sqrt(64)    or sqrt 4

 Dec 13, 2020

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