Which statement best reflects the solution(s) of the equation? √3x+1 −x+3=0 (note it's the square root of 3x+1) a. There is only one solution: x = 8. The solution x = 1 is an extraneous solution. b. There is only one solution: x = 8. The solution x = 0 is an extraneous solution. c. There is only one solution: x = 1. The solution x = 8 is an extraneous solution. d. There are two solutions: x = 1 and x = 8.

√3x+1 −x+3=0 (√3x+1)^2 =(x-3)^2 3x + 1 = x^2 - 6x + 9 0 = x^2 - 9x + 8 0= (x - 8) (x – 1)  X = 8 and x = 1 First let’s solve for x = 8 √3 (8) + 1 – (8) + 3 = 0 √24 + 1 – 5 =0 √25 – 5 =0 5-5=0 0=0 X=8 is a solution For x=1 √3 (1) + 1 – (1) + 3 = 0 √4 – 4 =0 2 – 4 =0 -2=0 X=1 is not a solution Therefore: a. There is only one solution: x = 8. The solution x = 1 is an extraneous solution.