what is the square of the given quadratic expression f(x)=x^2-8x+13

Question

complete the square of the given quadratic expression. f(x)=x^2-8x+13

Answer 1

(a² ± b²) = a² ± 2ab + b² 
~~~~~~~~~~~~~         

ƒ(x) = x² - 8x + 13 = 

x² - 2*4*x + 16 - 16 + 13 = 

(x - 4)² - 3  

Answer 2

x^2-8x+13=0

x^2-8x      =-13

(8/2)^2=4^2=16

x^2-8x+16=-13+16

x^2-8x+16=3

(x-4)^2=3

x-4=+sqrt(3)

x=4+sqrt(3)

x=4+sqrt(3) and x=4-sqrt(3)