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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.

 Dec 23, 2023
 #1
avatar+126665 
+1

x^2 + nx + 15 < -21 - 7x + x^2      simplify

 

(-7 -n) x >  36

 

x >   36 / - (7+n)       {the denominator  cannot =  0 }

 

This will have no  real solutions when n =  -7

 

 

cool cool cool

 Dec 24, 2023

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