document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79042>Question 79042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one positive integer is 4 more than another. the sum of their squares is 40. Find the numbers.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56718 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=56718\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two numbers be a and b.<BR>\n" );
document.write( "a = b+4 and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2+=+40 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute the a = b+4 here and solve for b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%2B4%29%5E2%2Bb%5E2+=+40 ALIGN=MIDDLE  ALT=\"%28b%2B4%29%5E2%2Bb%5E2+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2%2B8b%2B16%29%2Bb%5E2+=+40 ALIGN=MIDDLE  ALT=\"%28b%5E2%2B8b%2B16%29%2Bb%5E2+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E2%2B8b%2B16+=+40 ALIGN=MIDDLE  ALT=\"2b%5E2%2B8b%2B16+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now subtract 40 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%5E2%2B8b-24+=+0 ALIGN=MIDDLE  ALT=\"2b%5E2%2B8b-24+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide through by 2 to simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%2B4b-12+=+0 ALIGN=MIDDLE  ALT=\"b%5E2%2B4b-12+=+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=%28b-2%29%28b%2B6%29+=+0 ALIGN=MIDDLE  ALT=\"%28b-2%29%28b%2B6%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b-2+=+0 ALIGN=MIDDLE  ALT=\"b-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2B6+=+0 ALIGN=MIDDLE  ALT=\"b%2B6+=+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=b+=+2 ALIGN=MIDDLE  ALT=\"b+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=+-6 ALIGN=MIDDLE  ALT=\"b=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Discard the negative solution as you are looking for positive integers only.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+b%2B4 ALIGN=MIDDLE  ALT=\"a+=+b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+2%2B4 ALIGN=MIDDLE  ALT=\"a+=+2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+6 ALIGN=MIDDLE  ALT=\"a+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The two integers are: 2 and 6\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2+%2B+6%5E2+=+4+%2B+36 ALIGN=MIDDLE  ALT=\"2%5E2+%2B+6%5E2+=+4+%2B+36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 40<BR>\n" );
document.write( "and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2B4+=+6 ALIGN=MIDDLE  ALT=\"2%2B4+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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