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Find the product of all positive integer values of $c$ such that $8x^2+15x+c=0$ has two real roots.

 Apr 25, 2020
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5040. Since in order for it to be real, in the quadractic formula, b^2-4ac>0.

Here 225-32c>0. 225>32c. 225/32>c.

225/32>7 and <8 so the answer should be 7!.

7!=5040.

 Apr 25, 2020

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