document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85444>Question 85444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Find two consecutive integers such that the sum of there square is 85.\r<BR>\n" );
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document.write( "2. A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area id 400ft ^2, what is the width of the path? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61647 by </B><A HREF=/tutors/aboutme.mpl?userid=scianci><B>scianci(186)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scianci><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=61647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  x = first integer<BR>\n" );
document.write( "    x + 1 = next consecutive integer\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+1%29%5E2 ALIGN=MIDDLE  ALT=\"%28x+%2B+1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 85<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2x + 1 = 85<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2x + 1 = 85<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2x - 84 = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + x - 42 = 0<BR>\n" );
document.write( "(x + 7)(x - 6) = 0<BR>\n" );
document.write( "x + 7 = 0 ; x - 6 = 0<BR>\n" );
document.write( "x = -7 ; x = 6<BR>\n" );
document.write( "x = -7 , x + 1 = -6 is one pair of solutions<BR>\n" );
document.write( "x = 6 , x + 1 = 7 is another pair of solutions\r<BR>\n" );
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document.write( "2. Let x = width of the path<BR>\n" );
document.write( "Garden area = 20(30) = 600<BR>\n" );
document.write( "Remaining Garden area = (30 - 2x)(20 - 2x) = 400<BR>\n" );
document.write( "600 - 100x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 400<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 100x + 600 = 400<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 100x + 200 = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 25x + 50 = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2825+%2B-+sqrt%28+%28-25%29%5E2-4%2A1%2A50+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%2825+%2B-+sqrt%28+%28-25%29%5E2-4%2A1%2A50+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825+%2B-+sqrt%28+625-200+%29%29%2F2 ALIGN=MIDDLE  ALT=\"%2825+%2B-+sqrt%28+625-200+%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825+%2B-+sqrt%28425%29%29%2F2 ALIGN=MIDDLE  ALT=\"%2825+%2B-+sqrt%28425%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825+%2B-+21.62%29%2F2 ALIGN=MIDDLE  ALT=\"%2825+%2B-+21.62%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46.62%2F2 ALIGN=MIDDLE  ALT=\"46.62%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.38%2F2 ALIGN=MIDDLE  ALT=\"3.38%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "23.31 , 1.69<BR>\n" );
document.write( "23.31 is not feasible since the whole width is only 20 ft, so the answer is 1.69 ft. </SPAN>\n" );
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