Suppose that x and y are positive integers such that (x^2)(y^2)= 46656. What is the sum of all possible values of x?
(xy)2 =46656
xy = 216
add all of the factors of 216 to find the sum of all possible x values:
the factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216.
(xy)2 =46656
xy = 216
add all of the factors of 216 to find the sum of all possible x values:
the factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216.