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4n^2-16n-14=6

 Oct 2, 2015
 #1
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(n-5)(n+1)=0

 Oct 2, 2015
 #2
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+5

4n^2-16n-14=6  add 14 to both sides

 

4n^2 - 16n   = 20    divide through by 4

 

n^2 - 4n  =  5          take (1/2)  of  (-4)  = (-2)....square it = 4 and add to both sides

 

n^2 - 4n + 4 = 5 + 4      factor the left side, simplify the right

 

(n - 2) (n -2)  = 9

 

(n - 2)^2   = 9        take the positive and negative roots of both sides

 

n - 2   = (plus/minus)( 3)

 

So

 

n - 2 = 3     and n = 5     or

 

n - 2 = -3     and n = -1

 

 

cool cool cool

 Oct 2, 2015

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