SOLUTION: Solve algebraically and check your potential solutions: squareroot:x+2-x=0

Question 175240: Solve algebraically and check your potential solutions: squareroot:x+2-x=0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
It really depends on whether you mean or . You could also have meant but that reduces to the absurdity that , so I am discounting that possibility.

Case 1:

Let , then

In standard form: .

This factors to: so or

But so or meaning:

or

However, since we converted to a higher degree equation in order to solve this, we may have introduced an extraneous (and therefore incorrect) root. Check:

Checks.

Does not check. Extraneous root.

Therefore the solution set is

Case 2:

Add to both sides:

Square both sides:

Standard Form:

Factor:

Hence or

Again, since we squared both sides in the solution process, we have the possibility of an extraneous root.

Check:
Checks

Does not check. Extraneous root.

Solution set is
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