SOLUTION: solve for x sqrt x+7+5= x

Question 114778: solve for x
sqrt x+7+5= x
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
I'm going to assume you mean .

1) Add -5 to both sides

2) Square both sides

3) Collect terms and put in standard form

4) Factor

or

Check:

Check

Does not check. Why? By squaring both sides of the equation in step 2), you introduced an extraneous root that is invalid in the original equation. Therefore exclude from the solution set. The only correct solution is

Graphically:

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