6t^2 + 23t - 4 =0
product of the two roots = 6x -4 = -24
sum of two roots = 23
am thinking of 24 and -1
6t^2 + 23t - 4 =0
breaking the middle term
6t^2 +24t - t - 4 = 0
factoring
6t (t+4) -1( t+4) = 0
(6t-1) (t+4) =0
therefore:
6t-1 = 0 and t = 1/6
or
t+4 = 0 and t =-4
solution for t = (1/6, -4)