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The quadratic x^2-5x+1 can be written in the form (x+b)^2+c, where b and c are constants. What is b+c?

 Jun 24, 2022
 #1
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x^2 + 5x + 1  complete the square on x

 

x^2 + 5x + 25/4   +1  - 25/4  =

 

(x + 5/2)^2  +  4/4  - 25/4

 

(x + 5/2)^2  -  21/4

 

 

b + c  =    5/2  - 21/4  =  10/4 - 21/4  =   -11 / 4

 

cool cool cool

 Jun 24, 2022

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