The number of seconds to complete a chemical reaction was determined to be given by the equation s=250−5T−T2, where s is the number of seconds and T is the temperature in degrees Celsius at which the reaction occurred. If a chemical reaction was complete in 200 seconds, what was the temperature at which the reaction occurred?
+37170 Set the quation = 200
200 = 250 - 5t - t^2 Subtract 200 from each side
0 = 50 - 5t- t^2 Multiply both sides by -1 (just to make it easier)
0 = t^2 + 5t - 50 Factor (or use Quadratic Formula)
0 = (t-5)(t+10) results in t = 5 or -10 (we can't have a MINUS time value , so the only answer is t =5)
t= 5 Seconds
