Sunrise,
The solution to a quadratic equation, ax^2+bx+c=0 will have two roots given by x=(-b +/- sqrt(b^2-4*a*c) ) /(2*a). Note that here "+/-" means plus or minus. Plus gives one root and minus gives the other root.
In your case, 4,9t^2+39t+125=0, a=4.9, b=39 and c=125, thus, x=(-39+/-sqrt(39^2-4*4.9*125) )/(2*4.9)
Note that in your case b^2-4*a*c=-929 which is negative. Thus the square root of a negative number will be imaginary.
I am guessing that either your 4,9 is not 4.9,
or
you have a sign missing somewhere in the equation
or
your physics problem is such that it is ill-posed and the solution doesn't exist.
Please check your equation.
Cheers,
Sai.