Solve the equation by completing the square.

x2 - 4x + 1 = 0

a. 2

b. 2 + 3

C. 21 V15

d. 1

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.

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