Solve for t:

√(t-108) - √(t+186) = 66

3 answers

(t-108) -2[(t-108)(t+186)]^.5 +(t+186) = 4356

2 t + 78 - 4256 = 2[(t-108)(t+186)]^.5

t - 2089 = [(t-108)(t+186)]^.5

t^2 - 4178 t + 4363921 = t^2 + 78 t - 20088

4384009 = 4256 t

t = 102.9
check my arithmetic !!!
√(t-108) = √(t+186) + 66
square both sides
t-108 = t+186 + 2√(t+186) + 4356
-4650 = 2√(t+186)

by definition, √(any#) is positive, so your equation has no real solution.
As I answered your previous post of the same ?:
http://www.jiskha.com/display.cgi?id=1278659403
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