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For an integer n, the inequality

x^2 + nx + 15 < -21 - 7x + x^2
has no real solutions in x.  Find the number of different possible values of n.

 Feb 14, 2024
 #1
avatar+129850 
+1

Simplify

 

(7 + n) x  <  -36

 

x  <  -36  / ( 7 +  n)

 

n cannot =  -7

 

cool cool cool

 Feb 14, 2024

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