Geometry

Question Analysis

The main focus is to transform the given circle equation from its current form to the standard form  by completing the square for both  and  terms, in order to determine the center  of the circle.

Key Concept Explanation

The general form of a circle's equation is . To find the center, we use the method of completing the square. For , we add  to complete the square, and for , we add . The standard form  has center .

Step-by-Step Solution

1. Rearrange the given equation  to get .

2. Complete the square for the  terms:

The coefficient of

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