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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.

 Jun 19, 2024
 #1
avatar+129733 
+1

Simplify as

 

(7 + n)x < -36

 

x <  -36 / ( 7 + n)

 

This will have no solution if n =  -7

 

 

cool cool cool

 Jun 19, 2024

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