document.write( "Question 60108: How do you solve these problems by using the
\n" ); document.write( "quadratic formula x² = 6x - 4 and
\n" ); document.write( "x² + 16x + 60 = 5
\n" ); document.write( "

Algebra.Com's Answer #41277 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
How do you solve these problems by using the \r\n" );
document.write( "quadratic formula x² = 6x - 4 and \r\n" );
document.write( "x² + 16x + 60 = 5\r\n" );
document.write( "\r\n" );
document.write( "                    x² = 6x - 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( "           x² - 6x + 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 = 1; b = -6; c = 4\r\n" );
document.write( "\r\n" );
document.write( "                      _____________ \r\n" );
document.write( "             -(-6) ± Ö(-6)²-4(1)(4)\r\n" );
document.write( "        x = ————————————————————————\r\n" );
document.write( "                     2(1) \r\n" );
document.write( "                  _____ \r\n" );
document.write( "             6 ± Ö36-16\r\n" );
document.write( "        x = ————————————\r\n" );
document.write( "                 2\r\n" );
document.write( "\r\n" );
document.write( "                  __ \r\n" );
document.write( "             6 ± Ö20\r\n" );
document.write( "        x = —————————\r\n" );
document.write( "                2\r\n" );
document.write( "\r\n" );
document.write( "                  ___ \r\n" );
document.write( "             6 ± Ö4·5\r\n" );
document.write( "        x = ——————————\r\n" );
document.write( "                2 \r\n" );
document.write( "\r\n" );
document.write( "                   _\r\n" );
document.write( "             6 ± 2Ö5\r\n" );
document.write( "        x = —————————\r\n" );
document.write( "                2\r\n" );
document.write( "\r\n" );
document.write( "                     _\r\n" );
document.write( "             6     2Ö5\r\n" );
document.write( "        x = ——— ± —————\r\n" );
document.write( "             2      2\r\n" );
document.write( "                 _\r\n" );
document.write( "        x = 3 ± Ö5 \r\n" );
document.write( "                      _\r\n" );
document.write( "Using the +, x = 3 + Ö5, which\r\n" );
document.write( "is one solution and equals about 5.236067977\r\n" );
document.write( "                      _ \r\n" );
document.write( "Using the -, x = 3 - Ö5, which\r\n" );
document.write( "is the other solution and equals about\r\n" );
document.write( ".583592135\r\n" );
document.write( "\r\n" );
document.write( "==============================\r\n" );
document.write( "\r\n" );
document.write( "                   x² + 16x + 60 = 5\r\n" );
document.write( "                    \r\n" );
document.write( "Get 0 on the right by adding -5 to both sides\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "                  x² + 16x + 55 = 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 = 1; b = 16; c = 55\r\n" );
document.write( "\r\n" );
document.write( "                      ______________ \r\n" );
document.write( "             -(16) ± Ö(16)²-4(1)(55)\r\n" );
document.write( "        x = ——————————————————————————\r\n" );
document.write( "                     2(1) \r\n" );
document.write( "\r\n" );
document.write( "                    _______ \r\n" );
document.write( "             -16 ± Ö256-220\r\n" );
document.write( "        x = ————————————————\r\n" );
document.write( "                    2\r\n" );
document.write( "\r\n" );
document.write( "                    __ \r\n" );
document.write( "             -16 ± Ö36\r\n" );
document.write( "        x = —————————————\r\n" );
document.write( "                  2\r\n" );
document.write( "\r\n" );
document.write( "                   \r\n" );
document.write( "             -16 ± 6\r\n" );
document.write( "        x = —————————\r\n" );
document.write( "                2 \r\n" );
document.write( "\r\n" );
document.write( "            -16     6\r\n" );
document.write( "        x = ———— ± ———\r\n" );
document.write( "             2      2 \r\n" );
document.write( "\r\n" );
document.write( "        x = -8 ± 3\r\n" );
document.write( "\r\n" );
document.write( "Using the +, x = -8 + 3, which\r\n" );
document.write( "is one solution and equals -5\r\n" );
document.write( "\r\n" );
document.write( "Using the -, x = -8 - 3, which\r\n" );
document.write( "is the other solution and equals -11\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );