Given the equation - 4 * sqrt (x-3) = 12, solve for x and identify if it is an extraneous solution.

4*sqrt (x-3) = 12. On squarng both the sides, we get, 16. (x-3) = 144. or (x-3) = 144/16 = 9 or we can say that x = 3+9 = 12. Thus, x = 12 and it is not an extraneous solution. It would have been extraneous if x would have been 3.