Find the positive difference between the solutions to the equation 6t^2 + 30 = 47t.
+128475 Rearrange as
6t^2 - 47t + 30 = 0 use the quadratic formula
t = 47 ± sqrt [ 47^2 - 4*6 * 30 ] 47 ± sqrt 1489
____________________________ = _______________
2 * 6 12
The positive difference between the solutions = sqrt 1489 - (-sqrt 1489)
_______________________ =
12
2sqrt 1489
__________ =
12
sqrt 1489
________
6
