Question

Find the solution of the square root of the quantity of x plus 3 plus 4 equals 6 and determine if it is an extraneous solution
answers are:
x = 1; not extraneous

x = 1; extraneous

x = 29; extraneous

x = 29; not extraneous

Answer 1

First we need to write down this equation
$\sqrt{x+3} + 4 = 6$
now we switch 4 to other side and subtract it from 6
$\sqrt{x+3} =2$

Now we square both sides
x+3 = 4
and we get x = 1

If we replace x=1 in starting equation we get 6=6 which is not extraneus

Answer is first option