Square root of the quantity x minus 2 end quantity plus 8 equals x

ANSWER

x=11

EXPLANATION

We want to solve the equation:

Add -8 to both sides:

Square both sides of the equation to get:

Rewrite in the form ax² +bx+c=0

Factor to get,

This implies that,

Checking for extraneous solutions.

When x=6, the original equation becomes,

2+8= 6 is not true.

x=6 is an extraneous solution.

When x=11, the original equation becomes,

This is true, hence x=11 is the only solution.