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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.

 May 24, 2024
 #1
avatar+129487 
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x^2 + nx + 15 < -21 -7x + x^2       simplify as

 

(n + 7)x < -36

 

This will have no real solution if n =  -7

 

cool cool cool

 May 25, 2024

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