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For what real values of $c$ is $x^2 - 8x - 4x + c + x^2 - 20x + x^2$ the square of a binomial?

 Mar 21, 2024
 #1
avatar+128794 
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Simplify as 

3x^2 - 32x  +  c

 

We will have a square of a binomial when the  discriminant  = 0

 

32^2  -  4(3)c  =  0

 

1024  =  12c

 

c = 1024/ 12 =  256/3

 

 

cool cool cool

 Mar 21, 2024

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