Question
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.
Answers
Reiny
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
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