The length of the segment between the points (2a, a - 4) and (4,-7) is 2*sqrt(2) units. What is the product of all possible values for a?
+128475 Using the square of the distance formula
(2a - 4)^2 + ( a - 4 - -7)^2 = (2 sqrt 2)^2
( 2a - 4)^2 + ( a +3)^2 = 8
4a^2 - 16a + 16 + a^2 +6a + 9 = 8
5a^2 - 10a + 17 = 0
This will not produce real number values for "a"
But....the product of all possible values for "a" = 17 / 5
