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The quadratic x^2 - 8x + 66 can be written in the form (x + b)^2 + c, where b and c are constants. What is b + c?

 Jan 24, 2022
 #1
avatar+36417 
+1

x^2 - 8x + 66           'complete the square

 

(x - 4)^2   - 16 + 66

(x-4)2  + 50         <========== you can finish

 Jan 24, 2022
 #2
avatar+675 
0

...

 

Then b = -4 and c = 50.

 

b + c = -4 + 50 = 46

 Jan 24, 2022

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