Final answer:
To isolate x in the equation (x-2)² + y² = 64, expand the squared term and rearrange the equation to solve for x.
Step-by-step explanation:
To isolate a variable in an equation means to rearrange the equation to solve for that variable. In the given equation, (x-2)² + y² = 64, we want to isolate x. Let's start by expanding the squared term, (x-2)² = x² - 4x + 4. The equation then becomes x² - 4x + 4 + y² = 64. To isolate x, we can subtract y² and 4 from both sides of the equation, resulting in x² - 4x = 60. Therefore, the correct answer is option B. 2² = -x² + 4x + 4.
Learn more about isolating variables