document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204189>Question 204189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1) The sum of the squares of two consecutive integers is 613.  What are the integers?<BR>\n" );
document.write( "Let x be one integer. Therefore x +1 is the next integer.<BR>\n" );
document.write( " x^2+(x+1)^2= 613\r<BR>\n" );
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document.write( "2)The length of a rectangle is four more than the width.  If the area of the rectangle is 621 m2, find the width and length of the rectangle.    	<BR>\n" );
document.write( "Let w be the width. Therefore w + 4 is the length.<BR>\n" );
document.write( "W(w +4) = 621<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 #154157 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=154157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Very  good  setup<BR>\n" );
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document.write( "1) x^2 +(x+1)^2 =613<BR>\n" );
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document.write( "x^2 +x^2 +2x+ 1 =613<BR>\n" );
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document.write( "2x^2 +2x -612 =0<BR>\n" );
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document.write( "x^2 +x -306=0<BR>\n" );
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document.write( "(x+18)(x-17) =0<BR>\n" );
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document.write( "x = 17, -18<BR>\n" );
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document.write( "Integers,,17,18,,,,,,,check,,17^2 +18^2 =613,,,ok<BR>\n" );
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document.write( "also -18,,-17,,,,,,,check, (-17)^2 +(-18)^2 = 613,,,ok<BR>\n" );
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document.write( "2) w(w+4) =621<BR>\n" );
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document.write( "w^2 +4w -621=0<BR>\n" );
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document.write( "(w+27)(w-23) = 0<BR>\n" );
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document.write( "w = 23, -27 (not  realistic)<BR>\n" );
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document.write( "Dim\"s, w=23,,,L=27<BR>\n" );
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document.write( "check , 23*27 = 621,,,ok<BR>\n" );
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