document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162007>Question 162007</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find three consecutive integers such that the sum of the squares of the second and the third exceeds the square of the first by 21. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119391 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=119391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the three consecutive integers be: x, (x+1), and (x+2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%5E2+%2B+%28x%2B2%29%5E2+=+x%5E2%2B21 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E2+%2B+%28x%2B2%29%5E2+=+x%5E2%2B21\"   DISABLED_style= \"max-width:90%; height:auto;\" > \"...the sum of the squares of the second and third exceed the square of the first by 21.\" Simplify this and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2x%2B1%29%2B%28x%5E2%2B4x%2B4%29+=+x%5E2%2B21 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x%2B1%29%2B%28x%5E2%2B4x%2B4%29+=+x%5E2%2B21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like-terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B6x%2B5+=+x%5E2%2B21 ALIGN=MIDDLE  ALT=\"2x%5E2%2B6x%2B5+=+x%5E2%2B21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x%2B5+=+21 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x%2B5+=+21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 21 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x-16+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x-16+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this quadratic equation by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%2B8%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%2B8%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product rule.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2+=+0 ALIGN=MIDDLE  ALT=\"x-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B8+=+0 ALIGN=MIDDLE  ALT=\"x%2B8+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<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;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-8 ALIGN=MIDDLE  ALT=\"x+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are two answers to this problem:<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "(x+1) = 3<BR>\n" );
document.write( "(x+2) = 4 and...<BR>\n" );
document.write( "x = -8<BR>\n" );
document.write( "x+1 = -7<BR>\n" );
document.write( "x+2 = -6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );