document.write( "Question 38273: ______\r\n" );
document.write( "Öx² + 5 - x - 2 = 0\r\n" );
document.write( " _____\r\n" );
document.write( "x = 1 + 6Öx - 9
\n" );
document.write( "
Algebra.Com's Answer #23762 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! ______\r\n" ); document.write( "Öx² + 5 - x - 2 = 0\r\n" ); document.write( "\r\n" ); document.write( "Isolate the radical\r\n" ); document.write( " ______\r\n" ); document.write( "Öx² + 5 = x + 2\r\n" ); document.write( "\r\n" ); document.write( "Square both sides:\r\n" ); document.write( "\r\n" ); document.write( " ______\r\n" ); document.write( "(Öx² + 5)² = (x + 2)²\r\n" ); document.write( "\r\n" ); document.write( "x² + 5 = x² + 4x + 4\r\n" ); document.write( "\r\n" ); document.write( " 1 = 4x\r\n" ); document.write( "\r\n" ); document.write( " 1/4 = x\r\n" ); document.write( "\r\n" ); document.write( "It checks.\r\n" ); document.write( "\r\n" ); document.write( "=====================================\r\n" ); document.write( " _____\r\n" ); document.write( "x = 1 + 6Öx - 9\r\n" ); document.write( "\r\n" ); document.write( "Isolate the radical term\r\n" ); document.write( " _____\r\n" ); document.write( "x - 1 = 6Öx - 9\r\n" ); document.write( "\r\n" ); document.write( "Square both sides\r\n" ); document.write( "\r\n" ); document.write( " _____\r\n" ); document.write( "(x - 1)² = (6Öx - 9)²\r\n" ); document.write( "\r\n" ); document.write( "x² - 2x + 1 = 36(x - 9)\r\n" ); document.write( "\r\n" ); document.write( "x² - 2x + 1 = 36x - 324\r\n" ); document.write( "\r\n" ); document.write( "x² - 38x + 325 = 0\r\n" ); document.write( "\r\n" ); document.write( "(x - 13)(x - 25) = 0\r\n" ); document.write( "\r\n" ); document.write( "x - 13 = 0, or x = 13\r\n" ); document.write( "\r\n" ); document.write( "x - 25 = 0, or x = 25\r\n" ); document.write( "\r\n" ); document.write( "Both solutions check.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r\n" ); document.write( "AnlytcPhil@aol.com\n" ); document.write( " |