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The quadratic x^2-20x+36 can be written in the form (x+b)^2+c where b and c are constants.  What is b+c

 

Thanks for the help guys (and gals)!

AnonymousConfusedGuy  Oct 22, 2017
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"The quadratic x^2-20x+36 can be written in the form (x+b)^2+c where b and c are constants.  What is b+c"

 

Expand (x+b)^2 + c → x^2 + 2bx + b^2 + c

 

Compare with x^2 - 20x + 36

 

Coefficient of x term:    2b = -20  hence b = -10

 

Constant term:    b^2 + c = 36,    (-10)^2 + c = 36,    100 + c = 36,   c = -64

 

b + c = -74

Alan  Oct 22, 2017

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