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.

Answer 1

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