Respuesta :

Answer:

b. 2 + √3

Step-by-step explanation:

x² − 4x + 1 = 0

x² − 4x = -1

To complete the square, take half of -4, square it, and add the result to both sides.  (-4/2)² = 4.

x² − 4x + 4 = -1 + 4

(x − 2)² = 3

x − 2 = √3

x = 2 + √3

Answer:

x = 2 +√3,  2 -√3.

Step-by-step explanation:

x^2 - 4x + 1 = 0

x^2 - 4x = -1

(x - 2)^2 - 4 = -1

(x - 2)^2 = 3

x - 2 = +/-√3

x = 2 +√3,  2 -√3.