Question 186357

s=2tsquared-3t
s=2t^2-3t
.
Set 's' to 6 and solve for 't':
s=2t^2-3t
6=2t^2-3t
0=2t^2-3t-6
Since we can't factor, we must use the quadratic equation.
Doing so yields:
t = {2.6, -1.1}
We can toss out the negative solution leaving
t = 2.6 seconds
.
Details of quadratic follows:
*[invoke quadratic "x", 2, -3, -6 ]