SOLUTION: How do I solve the square root of x+6 - 4 ( -4 being on the outside of the square) = x what are the proposed solutions

Question 709682: How do I solve the square root of x+6 - 4 ( -4 being on the outside of the square) = x what are the proposed solutions
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
First we isolate the square root:
-->
Now, we square both sides of the equal sign,
knowing that we may be adding extraneous solutions,
but not worrying about them at this point.
--> -->
Now, we solve, still not worrying about extraneous solutions.
-->
If we are good at factoring, we factor
-->
and find the solutions to that equation as
and
(If we are not good at factoring,
we may solve the equation a different way,
such as "completing the square"
or using the quadratic formula).

At this point we worry about extraneous solutions,
but not to much.
We just check to see if the solutions we found for
are solutions to

Substituting

so is a solution of the original equation.
Substituting

so is an extraneous solution.
It is not a solution of the original equation.
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