Answer:
After completing the square, we can say:
(x - 2)² = 1
If we solve for x, this tells us that x has a value of both 1 and 3.
Step-by-step explanation:
Given:
x² - 4x + 3 = 0
We can complete the square by adding 1 to both sides:
x² - 4x + 4 = 1
(x - 2)² = 1
We can then solve for x by saying:
(x - 2)² = 1
x - 2 = √1
x = 2 ± 1
x = 1, 3
