Solve the equation for x. if a solution is extraneous, be sure to identify it in your final answer.

square root of the quantity x-6 end quantity - 4 =x

x=-2 is the only solution

Step-by-step explanation:

The given equation is

Add 4 to both sides of the equation.

Square both sides

Rewrite in standard form;

x=-2 or x=-5

Checking for extraneous solution.

When x=-2

. This statement is true. This implies that: x=-2 is a solution.

When x=-5

. This statement is not true. This implies that: x=-5 is an extranous solution.