Question 88548
200=-12x^2+110x+35
-12x^2+110x+35-200=0
12x^2-110x+165=0
using the quadratic equation {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} we get:
x=(110+-sqrt[110^2-4*12*165])/2*12
x=(110+-sqrt[12100-7920])/24
x=(110+-sqrt4180)/24
x=(110+-64.65)/24
x=(110+64.65)/24
x=174.65/24
x=7.28 hours or 7 hours & 17 minutes after 11:00 am. is one answer.
x=(110-64.65)/24
x=45.35/24
x=1.9 or 1 hour & 54 minutes after 11:00 am is the other answer.