document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=770929>Question 770929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the solution set\r<BR>\n" );
document.write( "\n" );
document.write( "|x^2+10| = 7x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #469862 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=469862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the solution set <BR>\n" );
document.write( "|x^2+10| = 7x<BR>\n" );
document.write( "***<BR>\n" );
document.write( "solve for 2 conditions<BR>\n" );
document.write( "x^2+10=7x<BR>\n" );
document.write( "x^2-7x+10=0<BR>\n" );
document.write( "(x-5)(x-2)=0<BR>\n" );
document.write( "x=5, 2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2+10=-7x<BR>\n" );
document.write( "x^2+7x+10=0<BR>\n" );
document.write( "(x+5)(x+2)=0<BR>\n" );
document.write( "x=-5, -2 (reject, do not check)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "solution: {x|x=5 or 2} </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );