Question

Use the method of completing the square to solve x2 - 6x + 1 = 0. Simplify your solutions.

Answer 1

Answer:

x = 3 ± 2$\sqrt{2}$

Step-by-step explanation:

given

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

To complete the square

add (half the coefficient of the x- term)² to both sides

x² - 6x + (- 3)² = - 1 + (- 3)²

x² - 6x + 9 = - 1 + 9

(x - 3)² = 8 ( take the square root of both sides )

x - 3 = ± $\sqrt{8}$ = ± 2$\sqrt{2}$ ( add 3 to both sides )

x = 3 ± 2$\sqrt{2}$