document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=536342>Question 536342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of 2 numbers is 180. Square of smaller number is 8 times the larger number. find the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352287 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10554)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=352287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference of 2 numbers is 180. Square of smaller number is 8 times the larger number. find the numbers?\r<BR>\n" );
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document.write( "Let the larger and smaller numbers be L and S, respectively\r<BR>\n" );
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document.write( "Then: L – S = 180 ------ L = 180 + S ------ eq (i)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+=+8L ALIGN=MIDDLE  ALT=\"S%5E2+=+8L\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+-+8L+=+0 ALIGN=MIDDLE  ALT=\"S%5E2+-+8L+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------- eq (ii)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+-+8%28180+%2B+S%29+=+0 ALIGN=MIDDLE  ALT=\"S%5E2+-+8%28180+%2B+S%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------ Substituting 180 + S for L in eq (ii)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+-+1440+-+8S+=+0 ALIGN=MIDDLE  ALT=\"S%5E2+-+1440+-+8S+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+-+8S+-+1440+=+0 ALIGN=MIDDLE  ALT=\"S%5E2+-+8S+-+1440+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solving using the quadratic formula, we find that S, or smaller number = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2842.1576%29 ALIGN=MIDDLE  ALT=\"highlight_green%2842.1576%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28-+34.1576%29 ALIGN=MIDDLE  ALT=\"highlight_green%28-+34.1576%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If smaller number = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42.1576 ALIGN=MIDDLE  ALT=\"42.1576\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then larger number = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28222.1576%29 ALIGN=MIDDLE  ALT=\"highlight_green%28222.1576%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "However, if smaller number = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+34.1576 ALIGN=MIDDLE  ALT=\"-+34.1576\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then larger number = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28145.8424%29 ALIGN=MIDDLE  ALT=\"highlight_green%28145.8424%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'm sure you can do the check!!\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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