Question

Start with x ^ 2 - 6x + 8 = 0 and complete the squarewhat is the equivalent equation A) (x + 3) ^ 2 = 1 B) (x + 3) ^ 2 = 9 (x - 3) ^ 2 = 1 D) (x - 3) ^ 2 = 9

Answer 1

C. (x - 3)² = 1

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