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Find the product of all positive integer values of c such that 8x^2 + 45x + c = 0 has two real roots.

 Jan 15, 2021
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discriminant of the quadratic equation,    b2 -4ac ,   must be > zero 

                              452 - 4(8)(c) >0

                             2025 - 32c > 0

                                  32c<2025

                                      c < 63.28         the product of 1 thru 63   is a big number.....did you enter the correct numbers in your Q ?

63! = 1.982608315 x 1087

 Jan 15, 2021

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