+0  
 
+1
129
1
avatar+409 

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+26322 
+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
Sort: 

1+0 Answers

 #1
avatar+26322 
+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

7 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details