document.write( "Question 51693: using the quadratic equation xｲ - 4x - 5 = 0,
\n" ); document.write( "perform the following task:
\n" ); document.write( "solve by factoring,
\n" ); document.write( "solve by completing the square,
\n" ); document.write( "and solve using the quadratic formula \n" ); document.write( "
Algebra.Com's Answer #34480 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
using the quadratic equation xｲ - 4x - 5 = 0, \r\n" );
document.write( "perform the following task: \r\n" );
document.write( "solve by factoring,\r\n" );
document.write( "solve by completing the square,\r\n" );
document.write( "and solve using the quadratic formula\r\n" );
document.write( "\r\n" );
document.write( "-------------------------------\r\n" );
document.write( "\r\n" );
document.write( "By factoring:\r\n" );
document.write( "\r\n" );
document.write( "xｲ - 4x - 5 = 0\r\n" );
document.write( "\r\n" );
document.write( "(x - 5)(x + 1) = 0\r\n" );
document.write( "\r\n" );
document.write( "Setting x - 5 = 0 gives x = 5\r\n" );
document.write( "Setting x + 1 = 0 gives x = -1\r\n" );
document.write( "\r\n" );
document.write( "-------------------------------\r\n" );
document.write( "\r\n" );
document.write( "By completing the square:\r\n" );
document.write( "\r\n" );
document.write( "Get the constant term, -5, off the left side by\r\n" );
document.write( "adding +5 to both sides of the equation:\r\n" );
document.write( "\r\n" );
document.write( "                          xｲ - 4x = 5\r\n" );
document.write( "\r\n" );
document.write( "To the side, multiply the coefficient of x, which is\r\n" );
document.write( "-4, by 1/2, getting -2.  Then square this -2. getting,\r\n" );
document.write( "(-2)ｲ or 4.  Now add 4 to both sides:\r\n" );
document.write( "\r\n" );
document.write( "                      xｲ - 4x + 4 = 5 + 4 \r\n" );
document.write( "\r\n" );
document.write( "The left side will factor as (x - 2)(x - 2) or (x - 2)ｲ.\r\n" );
document.write( "We combine the numbers on the right as 9\r\n" );
document.write( "\r\n" );
document.write( "                         (x - 2)ｲ = 9\r\n" );
document.write( "\r\n" );
document.write( "Now we take square roots of both sides.\r\n" );
document.write( "\r\n" );
document.write( "                            x - 2 = ｱ3\r\n" );
document.write( "\r\n" );
document.write( "                                x = 2 ｱ 3\r\n" );
document.write( "\r\n" );
document.write( "Using the +,  x = 2 + 3, or x = 5\r\n" );
document.write( "\r\n" );
document.write( "Using the -, x = 2 - 3, or x = -1\r\n" );
document.write( "\r\n" );
document.write( "-----------------------------------\r\n" );
document.write( "\r\n" );
document.write( "By the quadratic formula:\r\n" );
document.write( "\r\n" );
document.write( "        xｲ - 4x - 5 = 0\r\n" );
document.write( "\r\n" );
document.write( "The quadratic formula is:\r\n" );
document.write( "\r\n" );
document.write( "       axｲ + bx + c = 0 has solutions:\r\n" );
document.write( "                  ______ \r\n" );
document.write( "            -b ｱ ﾖbｲ-4ac\r\n" );
document.write( "        x = 覧覧覧覧覧覧予r\n" );
document.write( "                2a \r\n" );
document.write( "\r\n" );
document.write( "In this cases a = 1; b = -4; c = -5\r\n" );
document.write( "\r\n" );
document.write( "                      ______________\r\n" );
document.write( "             -(-4) ｱ ﾖ(-4)ｲ-4(1)(-5)\r\n" );
document.write( "        x = 覧覧覧覧覧覧覧覧覧覧覧覧覧\r\n" );
document.write( "                     2(1) \r\n" );
document.write( "                  _____ \r\n" );
document.write( "             4 ｱ ﾖ16+20\r\n" );
document.write( "        x = 覧覧覧覧覧覧覧覧\r\n" );
document.write( "                  2\r\n" );
document.write( "\r\n" );
document.write( "                   __ \r\n" );
document.write( "              4 ｱ ﾖ36\r\n" );
document.write( "        x = 覧覧覧覧覧覧覧覧\r\n" );
document.write( "                  2\r\n" );
document.write( "\r\n" );
document.write( "                    \r\n" );
document.write( "              4 ｱ 6\r\n" );
document.write( "        x = 覧覧覧覧予r\n" );
document.write( "                2\r\n" );
document.write( "\r\n" );
document.write( "Using the +,  \r\n" );
document.write( "\r\n" );
document.write( "              4 + 6\r\n" );
document.write( "        x = 覧覧覧覧予r\n" );
document.write( "                2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "             10\r\n" );
document.write( "        x = 覧覧\r\n" );
document.write( "              2         \r\n" );
document.write( "\r\n" );
document.write( "        x = 5 \r\n" );
document.write( "       \r\n" );
document.write( "Using the -,  \r\n" );
document.write( "\r\n" );
document.write( "              4 - 6\r\n" );
document.write( "        x = 覧覧覧覧予r\n" );
document.write( "                2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "             -2\r\n" );
document.write( "        x = 覧覧\r\n" );
document.write( "              2         \r\n" );
document.write( "\r\n" );
document.write( "        x = -1 \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );