Solve the radical equation [math]\sqrt{2-x}=x[/math] for [math]x[/math].

[list=1][br][*]Isolate the radical expression.[br][/*][*]Raise both sides of the equation to a power to eliminate the radical, then simplify the result.[br][/*][*]Solve for [math]x[/math] by factoring, or by using the quadratic formula.[br][/*][*]Verify the solution(s).[br][/*][/list][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com/]www.walch.com[/url] for more information.