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Question 8 of 10

What is the result of isolating in the equation below?
(x-2)² + y² = 64
OA. 2²=2²+4x+60
O B.2²=-x² + 4x+4
OC. ²=64-x²
OD. ²2²=-2²+4x+60

User Adilson
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1 Answer

4 votes

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

User James Cropcho
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