college algebra
posted by Anonymous .
P=t^235t+300 the profit made when t units are sold t>0, is given by
P=t^235t+300. Determine the number units to be sold in order for P<0 (a loss is taken).
How do I solve this? Thanks for your help.

well, when is t^2 35 t + 300 = 0
plain old quadratic
t = [ 35 + /  sqrt (1225  1200) ]/2
= [ 35 +/ 5 ]/2
= 15 or 20
your profit is negative between 15 units and 20 units
I suspect a typo in your problem. It does not make sense to have a profit of 300 for zero units sold.