
\n" );
document.write( "\r\n" );
document.write( "What is between the absolute value bars,\r\n" );
document.write( "
, can either be negative or \r\n" );
document.write( "non-negative, so we must always make two \r\n" );
document.write( "separate equations, one for each case:\r\n" );
document.write( "\r\n" );
document.write( "Case 1: \r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Then
is non-negative and\r\n" );
document.write( "we can just replace the absolute value bars\r\n" );
document.write( "by parentheses, so\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "becomes simply:\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Case 2: \r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Then
is negative and so we\r\n" );
document.write( "must multiply what is between the absolute\r\n" );
document.write( "value bars by -1 to make it a positive\r\n" );
document.write( "number, so w replace
by\r\n" );
document.write( "
. So\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "becomes
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "But we must check both solutions because\r\n" );
document.write( "sometimes we get extraneous solutions,\r\n" );
document.write( "that is, bogus solutions, that do not check,\r\n" );
document.write( "and these must be discarded.\r\n" );
document.write( "\r\n" );
document.write( "Checking
in original:\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "So
is a solution.\r\n" );
document.write( "\r\n" );
document.write( "Checking
in original:\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "So
is also a solution.\r\n" );
document.write( "\r\n" );
document.write( "The solutions are -1 and -3.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( "