show all work to solve the equation for x. if a solution is extraneous, be sure to identify it in your final answer.
squareroot of x -2 + 8=x

The solution is

Step-by-step explanation:

we have

Solve for x

Subtract 8 both sides

Squared both sides

Expand the right side

Solve the quadratic equation by graphing

The solutions are x=6, x=11

see the attached figure

Verify the solutions

For x=6

substitute the value of x in the original equation

therefore

x=6 -----> is an extraneous solution

For x=11

substitute the value of x in the original equation

 ---> is true

therefore

The solution is

the first one, all those points on the line just make a strait line.