Question

Find the solution of the square root of the quantity of x plus 2 plus 4 equals 6 and determine if it is an extraneous solution.
x = 2; extraneous
x = 2; not extraneous
x = 30; extraneous
x = 30; not extraneous

Answer 1

\[\sqrt{x+2+4}=6\]\[(\sqrt{x+6})^{2}=6^{2}\]\[x+6=36\]\[x=36-6\]

Answer 2

so x=30; Non-extraneous?

Answer 3

correct