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16 November, 13:29

X² - 6x + y² + 2y = - 1

find center & Radius

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Answers (1)
  1. 16 November, 13:34
    0
    The answer to your question is Center = (3, - 1), radius = 3

    Step-by-step explanation:

    Equation

    x² - 6x + y² + 2y = - 1

    -Process

    1. - Leave a space between the like terms

    x² - 6x + y² + 2y = - 1

    2. - Divide the middle term of each group by 2 and write the result to the power of 2 in both sides of the equation.

    x² - 6x + (3) ² + y² + 2y + (1) ² = - 1 + 3² + 1²

    3. - Simplification

    x² - 6x + 9 + y² + 2y + 1 = - 1 + 9 + 1

    4. - Factor

    (x - 3) ² + (y + 1) ² = 9

    5. - Find the center and the radius

    Center = (3, - 1)

    Radius = √9 = 3
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