t^2 - 9t - 36 + 3t^2 - t + 10 simplify
4t^2 - 10t - 26 complete the square on t
4 ( t^2 - 10/4 t - 26/4)
4 ( t^2 - 5/2 t - 13/2 )
4 ( t^2 - 5/2 t + 25/16 - 13/2 - 25/16)
4 [ (t - 5/4)^2 ] - 26 - 25/4
4 (t - 5/4)^2 - 129/4
This will be minimized when t = 5/4