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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?

 Dec 1, 2020
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x^2 - 5x  + 1       complete the square on x

 

Take (1/2) of 5 =  5/2  ,,,,,square it =   25/4 ......add and subtract it

 

x^2  - 5x + 25/4 +  1  - 25/4      factor the first three terms and simplify

 

(x - 5/2)^2  - 21/4 

 

b + c =     -5/2  - 21/4  =   -10/4 - 21/4  =   -31/4

 

cool cool cool

 Dec 1, 2020

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