(01.03) 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 minus 3 end quantity plus 5 equals x

x=7 satisfy the equation, so it is the solution.

x=4 doesn't satisfy the equation so it is extraneous solution.

Step-by-step explanation:

The equation given is:

Adding -5 on both sides

Taking square on both sides

Now solving

Verifying solutions:

Putting x=4 in the equation

So, x=4 doesn't satisfy the equation so it is extraneous solution.

Now Putting x=7 and verifying

x=7 satisfy the equation, so it is the solution.