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For what positive integers c, with c<100, does the quadratic 3x^2+20x+c have rational roots?

 Feb 4, 2022
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The possible values of c are 12 and 25.

 

3x^2 + 20x + 12 = (x + 6)(3x + 2)

3x^2 + 20x + 25 = (x + 5)(3x + 5)

 Feb 4, 2022

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