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The quadratic x^2 - 10x + 36 can be written in the form (x + b)^2 + c, where b and c are constants. What is b + c?

 Nov 22, 2020
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x^2  - 10x + 36       complete the square on x....take 1/2 of 10  = 5.....square it.....=25   add and subtract this

 

x^2  - 10x + 25  + 36  - 25      factor the  first three terms 

 

(x - 5)^2  +  11

 

b = -5     c  =11

 

b + c   = 6

 

 

cool cool cool

 Nov 22, 2020

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