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16 May, 04:39

What are the x-intercepts of the circle (x - 3) 2 + (y - 4) 2 = 24?

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  1. 16 May, 05:36
    0
    (x-3) 2 + (y-4) 2=24

    2x-6+2y=24

    2x-14+2y=24

    2x=24+14-2y

    2x=38-2y

    x=19-y
  2. 16 May, 06:51
    0
    X-intercept ⇒ When y = 0

    (x - 3) ² + (y - 4) ² = 24

    When y = 0,

    (x - 3) ² + (0 - 4) ² = 24

    (x - 3) ² + 16 = 24

    (x - 3) ² = 8

    (x - 3) = ±√8

    x = √8 + 3 or x = - √8 + 3

    x = (3 + 2√2) or (3 - 2√2) [Radical Form]

    x = 5.83 or 0.17 [Decimal Form]

    Answer: (5.83, 0) and (0.17, 0)
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