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Find the largest integer 5x^2-mx+8  such that the equation
has no real solutions.

 Mar 2, 2020

Best Answer 

 #1
avatar+29249 
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For no real solutions we need a negative discriminant.

 

The discriminant here is  (-m)2 - 4*5*8  or  m2 - 160 

 

We want m2 < 160, so, if m is to be an integer, its largest possible value is 12.

 Mar 2, 2020
 #1
avatar+29249 
+3
Best Answer

For no real solutions we need a negative discriminant.

 

The discriminant here is  (-m)2 - 4*5*8  or  m2 - 160 

 

We want m2 < 160, so, if m is to be an integer, its largest possible value is 12.

Alan Mar 2, 2020

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