document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=816102>Question 816102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation. Check for extraneous solutions.<BR>\n" );
document.write( "|4x|=28<BR>\n" );
document.write( "I dont understand how to do extraneous solutions <BR>\n" );
document.write( "|4x|=28       28 divided by 4 is 7 so x=7 \r<BR>\n" );
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document.write( "But how do i check for extraneous solutions?         </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491362 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491362\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Absolute value is the distance away from zero.\r<BR>\n" );
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document.write( "|4x| = 28<BR>\n" );
document.write( "4x = 28 or 4x = -28   {the two numbers that are 28 away from zero are 28 and -28}<BR>\n" );
document.write( "x = 7 or x = -7   {divided each side by 4}\r<BR>\n" );
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document.write( "Check. If it makes a false statement, then it is an extraneous solution.\r<BR>\n" );
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document.write( "Check 7:<BR>\n" );
document.write( "|4(7)| = 28<BR>\n" );
document.write( "|28| = 28 {multiplied}<BR>\n" );
document.write( "28 = 28 {true statement, so 7 is not extraneous}\r<BR>\n" );
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document.write( "Check -7:<BR>\n" );
document.write( "|4(-7)| = 28<BR>\n" );
document.write( "|-28| = 28 {multiplied}<BR>\n" );
document.write( "28 = 28 {a true statement, so -7 is not extraneous}<BR>\n" );
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