document.write( "Question 38357: _ \r\n" );
document.write( "For the equation x - Öx = 0, perform the following:\r\n" );
document.write( "Solve for all values of x that satisfies the equation.
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Algebra.Com's Answer #23840 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! _ \r\n" ); document.write( "For the equation x - Öx = 0, perform the following:\r\n" ); document.write( "Solve for all values of x that satisfies the equation.\r\n" ); document.write( " _\r\n" ); document.write( " x - Öx = 0\r\n" ); document.write( "\r\n" ); document.write( "Isolate the radical term\r\n" ); document.write( " _\r\n" ); document.write( " x = Öx\r\n" ); document.write( "\r\n" ); document.write( "Square both sides\r\n" ); document.write( " _\r\n" ); document.write( " (x)² = (Öx)²\r\n" ); document.write( "\r\n" ); document.write( " x² = x\r\n" ); document.write( "\r\n" ); document.write( "Get 0 on right by subtracting x from both sides\r\n" ); document.write( "\r\n" ); document.write( " x² - x = 0\r\n" ); document.write( "\r\n" ); document.write( " x(x - 1) = 0\r\n" ); document.write( "\r\n" ); document.write( "Use zero-factor principle\r\n" ); document.write( "\r\n" ); document.write( "x = 0 is already solved\r\n" ); document.write( "\r\n" ); document.write( "x - 1 = 0 gives x = 1\r\n" ); document.write( "\r\n" ); document.write( "You should always check the solutions in equations containing\r\n" ); document.write( "square roots because sometimes the solutions you get do not\r\n" ); document.write( "check, but both these check.\r\n" ); document.write( "\r\n" ); document.write( "So solutions are 0 and 1\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r\n" ); document.write( "AnlytcPhil@aol.com \n" ); document.write( " \n" ); document.write( " |