document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154148>Question 1154148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a^2+3ad+2d^2=15,<BR>\n" );
document.write( "2a+ 3d=8<BR>\n" );
document.write( "Two possible progressions<BR>\n" );
document.write( "a = 1, d = 2<BR>\n" );
document.write( "1,3,5,7<BR>\n" );
document.write( "or<BR>\n" );
document.write( "a = 7, d = -2<BR>\n" );
document.write( "7,5,3,1.....how? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776522 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2B3ad%2B2d%5E2+=+%28a%2Bd%29%28a%2B2d%29+=+15 ALIGN=MIDDLE  ALT=\"a%5E2%2B3ad%2B2d%5E2+=+%28a%2Bd%29%28a%2B2d%29+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2B3d+=+%28a%2Bd%29%28a%2B2d%29+=+8 ALIGN=MIDDLE  ALT=\"2a%2B3d+=+%28a%2Bd%29%28a%2B2d%29+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So (a+d) and (a+2d) are two numbers whose product is 15 and whose sum is 8.<br><BR>\n" );
document.write( "The two numbers are, in some order, 3 and 5.<br><BR>\n" );
document.write( "So either<br><BR>\n" );
document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bd=3 ALIGN=MIDDLE  ALT=\"a%2Bd=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B2d=5 ALIGN=MIDDLE  ALT=\"a%2B2d=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> d=2; a=1 -->  1, 3, 5, 7, ...<br><BR>\n" );
document.write( "OR<br><BR>\n" );
document.write( "(b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bd=5 ALIGN=MIDDLE  ALT=\"a%2Bd=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B2d=3 ALIGN=MIDDLE  ALT=\"a%2B2d=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> d=-2; a=7 -->  7, 5, 3, 1, ...<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );