SOLUTION: Please help me solve this equation {{{ sqrt(x-2) = x-4 }}}

Question 628223: Please help me solve this equation
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Square both sides.

Collect like terms in the LHS to make standard form:

Solve by ordinary means. Note: It factors. The only fly in the ointment is that by squaring both sides in the first step you may have introduced extraneous roots. So check both of the roots to the quadratic back through the original equation. If you evaluate the original equation and get a false statement, then discard the extraneous root. Hint: One of these roots is good, and the other is bad.

John

My calculator said it, I believe it, that settles it

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