geometry

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Draw and label the following: segment AB intersects segment CD at point M. M is the midpoint of both segments. If AM = x2 + 8x + 17 and MB = 12x + 14, find AB.

  • geometry -

    So x^2 + 8x + 17 = 12x + 14

    x^2 - 4x + 3 = 0
    (x-3)(x-1) = 0
    x = 3 or x = 1

    if x=3, then MB = 36+14 = 50
    and AB = 100

    if x = 1, then MB = 12+14 = 26
    and AB = 52

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