Answer:
A. (x - 4)² = 3
Step-by-step explanation:
You need to change the equation so that you can make a square. To get a square, you need to analyze the terms.
x² has a a coefficient of one, so you don't have to worry about that.
13 is going to be changed so that it can be a square.
8x is what you should be looking at. For a square, the middle term is the number multiplied by 2. This means that the square was (x - 4)².
A square, when expanded, has the square of the number as the last term. This means that your last term should be 16. You need to add 3 to both sides of the equation to make this true.
x² - 8x + 13 = 0
x² - 8x + 13 + 3 = 0 + 3
x² - 8x + 16 = 3
(x - 4)² = 3
