Solving radical equations with quadratics

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][br]This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math III[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.

Information: Solving radical equations with quadratics