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For what real values of $c$ is $x^2 + 16x + c$ the square of a binomial? If you find more than one, then list your values separated by commas.

 Apr 22, 2018
 #1
avatar+98005 
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x^2  + 16x + c

 

Set the discriminant to 0  and solve for  c

 

16^2  - 4(1)(c)  =  0

 

256 - 4c  = 0      add 4c to both sides

 

256  =  4c        divide both sides by 4

 

64  = c

 

 

cool cool cool

 Apr 22, 2018

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