The length of the segment between the points (2a, a - 4) and (4,1) is 2*sqrt(30) units. What is the product of all possible values for a?
+129850 Using the square of the distance formula
(4 - 2a)^2 + (a - 4 - 1)^2 = (2sqrt 30) ^2 simplify
16 - 16a + 4a^2 + ( a - 5)^2 = 4*30
16 - 16a + 4a^2 + a^2 - 10a + 25 = 120
5a^2 - 26a + 41 = 120
5a^2 - 26a - 79 = 0
This will have two solutions for "a".....their product = -79 / 5
