document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129019>Question 129019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm a retired math and physics teacher.\r<BR>\n" );
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document.write( "I'm refering to the problem in the examples page with a rectangle<BR>\n" );
document.write( "of 90 cm^2 and consecutive integer sides of x and x+1.\r<BR>\n" );
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document.write( "Are you folks aware that there are many, many solutions<BR>\n" );
document.write( "to this problem?   :)\r<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 #94336 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=94336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I was not aware that there were many solutions to such a problem and I would be very interested in learning about these.<BR>\n" );
document.write( "I did not do the example to which you refer but, had I done so, I would have done the following:<BR>\n" );
document.write( "For a rectangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+L%2AW ALIGN=MIDDLE  ALT=\"A+=+L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > You say that the area, A = 90 sq.cm<BR>\n" );
document.write( "The sides are consecutive integers x and x+1, so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90+=+x%28x%2B1%29 ALIGN=MIDDLE  ALT=\"90+=+x%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90+=+x%5E2%2Bx ALIGN=MIDDLE  ALT=\"90+=+x%5E2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" > or...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-90+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-90+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factoring the quadratic, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-9%29%28x%2B10%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-9%29%28x%2B10%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9 ALIGN=MIDDLE  ALT=\"x+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-10 ALIGN=MIDDLE  ALT=\"x+=+-10\"   DISABLED_style= \"max-width:90%; height:auto;\" > We'll take the positive value as lengths are positive:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+9 ALIGN=MIDDLE  ALT=\"x+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1+=+10 ALIGN=MIDDLE  ALT=\"x%2B1+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A10+=+90 ALIGN=MIDDLE  ALT=\"9%2A10+=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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