Solve the equation for x. if a solution is extraneous, be sure to identify it in your final answer. square root of x-2+8=x

ANSWER

Extraneous solution: x=6

Real solution: x=11

EXPLANATION

The given expression is

Add -8 to both sides:

Square both sides.

We expand the to get

Write in standard quadratic form.

Factor to get:

We check for extraneous solutions by substituting each value of x into the original equation.

When x=6

Hence x=6 is an extraneous solution.

When x=11

This statement is true.

Hence x=11 is the only solution.

hope this !

wait this depends wether emily and zach how they are thinking.

yes they are the same.