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4 April, 03:18

Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 - 10 y = 14 into center-radius form of a circle.

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  1. 4 April, 03:35
    0
    The answer to your question is (x + 7) ² + (y - 5) ² = 88

    Step-by-step explanation:

    Equation

    x² + 14x + y² - 10y = 14

    Complete perfect trinomial squares

    x² + 14x + (7) ² + y² - 10y + (5) ² = 14 + (7) ² + (5) ²

    Simplify

    x² + 14x + (7) ² + y² - 10y + (5) ² = 14 + 49 + 25

    x² + 14x + (7) ² + y² - 10y + (5) ² = 88

    Factor

    (x + 7) ² + (y - 5) ² = 88 This is the equation in the form

    center-radius
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