Algebra 2 URGENT PLEASE HELP
posted by Anonymous .
Solve. If the equation has no real solution, say so.
Square root 3x+4 =x

Is it √(3x+4) or √(3x) + 4 ?
If first version
√(3x+4) = x
square both sides
3x+4 = x^2
x^2  3x  4 = 0
(x4)(x+1) = 0
x = 4 or x = 1 
I pressed "post answer" too soon
Of course since we squared both sides, extraneous roots could have been introduced, so all answers have to be verified.
if x = 4
LS = √(12+4)
= √16 = 4 = RS
if x = 1
LS = √1 = 1
RS = 1
so x = 4 is the only solution.