document.write( "Question 75580: Solve by using the quadratic formula. 3x2 = 11x + 4 \n" ); document.write( "
Algebra.Com's Answer #54246 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Solve by using the quadratic formula. \r\n" );
document.write( "\r\n" );
document.write( "                   3x² = 11x + 4\r\n" );
document.write( "\r\n" );
document.write( "Get 0 on the right by adding -6x + 4 to both sides\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         3x² - 11x - 4 = 0\r\n" );
document.write( "\r\n" );
document.write( "Use the quadratic formula:\r\n" );
document.write( "                  ______ \r\n" );
document.write( "            -b ± Öb²-4ac\r\n" );
document.write( "        x = —————————————\r\n" );
document.write( "                2a \r\n" );
document.write( "\r\n" );
document.write( "where a = 3; b = -11; c = -4\r\n" );
document.write( "\r\n" );
document.write( "                       _______________ \r\n" );
document.write( "             -(-11) ± Ö(-11)²-4(3)(-4)\r\n" );
document.write( "        x = ———————————————————————————\r\n" );
document.write( "                      2(3) \r\n" );
document.write( "                   ______ \r\n" );
document.write( "             11 ± Ö121+48\r\n" );
document.write( "        x = ——————————————\r\n" );
document.write( "                  6\r\n" );
document.write( "\r\n" );
document.write( "                   ___ \r\n" );
document.write( "             11 ± Ö169\r\n" );
document.write( "        x = ———————————\r\n" );
document.write( "                 6\r\n" );
document.write( "\r\n" );
document.write( "                   \r\n" );
document.write( "             11 ± 13\r\n" );
document.write( "        x = —————————\r\n" );
document.write( "                6 \r\n" );
document.write( "\r\n" );
document.write( "                   \r\n" );
document.write( "                              \r\n" );
document.write( "Using the +,\r\n" );
document.write( "\r\n" );
document.write( "             11 + 13     24\r\n" );
document.write( "        x = ————————— = ———— = 4\r\n" );
document.write( "                6         6\r\n" );
document.write( "\r\n" );
document.write( "Using the -,\r\n" );
document.write( "\r\n" );
document.write( "             11 - 13     -2       1\r\n" );
document.write( "        x = ————————— = ———— = - ———\r\n" );
document.write( "                6         6       3\r\n" );
document.write( "\r\n" );
document.write( "So the solutions are 4 and -1/3.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "
\n" );