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If $m$ is a real number and $2x^2+mx+8$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.

 Jun 27, 2018
 #1
avatar+94209 
+1

2x^2  + mx  + 8

 

If this has two distinctreal roots, then the discriminant  is  >  0

 

Sp

 

b^2  - 4ac  > 0

 

m^2  - 4(2)(8)  > 0

 

m^2 - 64  > 0

 

m^2  >  64

 

The possible values for m are

 

( - inf, -8)  U   (8, inf )

 

 

cool cool cool

 Jun 28, 2018

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