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Find the smallest integer value of n such that n^2-5n-14 is negative.

 Mar 21, 2020
 #1
avatar+111330 
+2

 

n^2  - 5n  - 14 <  0     factor

 

(n - 7) ( n + 2)  <  0

 

The  function will be negative  on  the interval   ( -2, 7)

 

So.....the smallest integer  that  makes the function  negative  is   n    =  -1

 

 

 

cool cool cool

 Mar 21, 2020
edited by CPhill  Mar 21, 2020
 #2
avatar+1970 
+3

I agree!

We can just factor it into (n-7)(n+2).

n=7

n=-2

 

So the smallest value that will make this function true is -1.

 Mar 21, 2020
 #3
avatar+63 
+1

Thank You!

smallbrain  Mar 21, 2020
 #4
avatar+1970 
+2

Anytime :D

CalTheGreat  Mar 22, 2020

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