document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=683841>Question 683841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Do you know the pattern or formula of this equation?<BR>\n" );
document.write( "(x-1)(x-2)=0<BR>\n" );
document.write( "Thanks!:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423771 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What will make this equation true?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+x+-+1+%29%2A%28+x+-+2+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+x+-+1+%29%2A%28+x+-+2+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If I say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1+ ALIGN=MIDDLE  ALT=\"+x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+1+-+1+%29%2A%28+1+-+2+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+1+-+1+%29%2A%28+1+-+2+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0%2A%28-1%29+=+0+ ALIGN=MIDDLE  ALT=\"+0%2A%28-1%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+1+ ALIGN=MIDDLE  ALT=\"+x+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > makes it true<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "If I say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2+ ALIGN=MIDDLE  ALT=\"+x+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282+-+1+%29%2A%28+2+-+2+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%282+-+1+%29%2A%28+2+-+2+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2A0+=+0+ ALIGN=MIDDLE  ALT=\"+1%2A0+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2+ ALIGN=MIDDLE  ALT=\"+x+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > also makes it true<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Theses are called the \"roots\" of the equation<BR>\n" );
document.write( "If I now multiply it out:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+-+3x+%2B+2+=+0+ ALIGN=MIDDLE  ALT=\"+x%5E2+-+3x+%2B+2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and plot it, you will see<BR>\n" );
document.write( "the roots as the crossings of the x-axis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-5%2C+5%2C+-2%2C+6%2C+x%5E2+-+3x+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-5%2C+5%2C+-2%2C+6%2C+x%5E2+-+3x+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );