Find the value of a when the distance between the points (3, a) and (4, 1) is .

Distance =



= 10



a2 - 2a - 8 = 0


a2 - 4a + 2a – 8 = 0


a(a - 4) + 2(a - 4) = 0


(a - 4) (a + 2) = 0


a = 4 and a = -2


2