document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114630>Question 114630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive natural numbers is 1056. Find the sum of these two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #83391 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=83391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the first (lower) number, then (x+1) is the next consecutive number.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29+=+1056 ALIGN=MIDDLE  ALT=\"x%28x%2B1%29+=+1056\"   DISABLED_style= \"max-width:90%; height:auto;\" > The product of theses two numbers is 1056. Subtract 1056 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-1056+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-1056+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-32%29%28x%2B33%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-32%29%28x%2B33%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product principle.<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-32+=+0 ALIGN=MIDDLE  ALT=\"x-32+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+32 ALIGN=MIDDLE  ALT=\"x+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B33+=+0 ALIGN=MIDDLE  ALT=\"x%2B33+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-33 ALIGN=MIDDLE  ALT=\"x+=+-33\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the problem says \"two consecutive natural numbers\", discard the negtive solution.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+32 ALIGN=MIDDLE  ALT=\"x+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1+=+33 ALIGN=MIDDLE  ALT=\"x%2B1+=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" > These are the two numbers.\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%2A33+=+1056 ALIGN=MIDDLE  ALT=\"32%2A33+=+1056\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );