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21 April, 01:42

What is the radius of the circle given by the equation below?

x2 + 2x = - y2 + 16y - 16

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  1. 21 April, 03:33
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    x² + 2x = - y² + 16y - 16

    x² + 2x + y² - 16y = - 16

    (x² + 2x + 4) + (y² - 16y + 64) = - 16 + 4 + 64

    (x + 2) ² + (y - 8) ² = 52

    (x + 2) + (y - 8) = 2√ (13)

    The radius of a circle is 2√ (13).
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