Find the positive difference between the solutions to the equation $6t^2 + 30 = 41t$ .
Rewrite as
6t^2 - 41t + 30 = 0
(6t - 5) ( t - 6) = 0
Set each factor to 0 ad solve for t gives
t = 5/6 and t = 6
So
6 - 5/6 =
[36 - 5 ] / 6 =
31/6
