+491 which statement best reflects the solution of the equation?
√3x+1 - x + 3 = 0
a. There is only one solution: x = 8. The solution x = 0 is an extraneous solution
b. There are two solutions: x=1 and x= 8
c. There is only one solution: x=1. The solution x=8 is an extraneous solution
d.There is only one solution: x=8. The solution x=1 is an extraneous solution
+128475 √ [3x+1 ] - x + 3 = 0 rearrange as
√[3x+1] = x - 3 square both sides
3x + 1 = x^2 - 6x + 9 subtract 3x , 1 from both sides and we get
x^2 - 9x + 8 = 0 factor
(x - 8) ( x - 1) = 0 set each factor to 0 and solve for x and we get
x = 8 and x = 1
Check that the first answer makes the original equation true, but not the second
So.... "D" is correct
