A scientist is growing bacteria in a lab for a study. One particular type of bacteria grows at a rate of y=3t^2 + 4t + 400. A different bacteria grows at a rate of y = 4t^2 + t + 200. In both of these equations, y is the number of bacteria after t minutes. Where is there an equal number of both types of bacteria? Enter the time to three decimals.

The equations has how many real solutions?

T=?