Answer:
C. (x - 3)² = 1
Step-by-step explanation:
Given;
x² - 6x + 8 = 0
Using completing the square method, the equation above is solved as follows;
x² - 6x = - 8
Half the coefficient of 'x' (-6), square the result and add it to both sides of the equation;
Half of coefficient of x (-6) = ¹/₂ (-6) = -3
x² + (-3)² = -8 + (-3)²
(x - 3)² = -8 + 9
(x - 3)² = 1
Thus, the correct option is 'C'
C. (x - 3)² = 1
