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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.

michaelcai  Jul 17, 2017

Best Answer 

 #1
avatar+26753 
+1

The discriminant must be greater than zero, so:

 

15^2 - 4*8*c > 0

 

225 - 32c > 0

 

This will be the case for c = 1, 2, 3, 4, 5, 6 and 7

 

The product is 7! → 5040

Alan  Jul 17, 2017
 #1
avatar+26753 
+1
Best Answer

The discriminant must be greater than zero, so:

 

15^2 - 4*8*c > 0

 

225 - 32c > 0

 

This will be the case for c = 1, 2, 3, 4, 5, 6 and 7

 

The product is 7! → 5040

Alan  Jul 17, 2017

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