document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172398>Question 172398</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> please help me I can up with three crazy answers.\r<BR>\n" );
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document.write( "Translate the following into a quadratic equation, and solve it:  The length of a rectangular garden is three times its width; if the area of the garden is 75 square meters, what are its dimensions? \r<BR>\n" );
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document.write( "also can you show me how to check the answer after solving the problem.<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 #127298 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=127298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since \"The length of a rectangular garden is three times its width\", this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3w ALIGN=MIDDLE  ALT=\"L=3w\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Area: <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;\" >\r<BR>\n" );
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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;\" > Start with the area formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75=%283w%29%2Aw ALIGN=MIDDLE  ALT=\"75=%283w%29%2Aw\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=75 ALIGN=MIDDLE  ALT=\"A=75\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the given area) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3w ALIGN=MIDDLE  ALT=\"L=3w\"   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=75=3w%5E2 ALIGN=MIDDLE  ALT=\"75=3w%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w%5E2=75 ALIGN=MIDDLE  ALT=\"3w%5E2=75\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2=%2875%29%2F%283%29 ALIGN=MIDDLE  ALT=\"w%5E2=%2875%29%2F%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   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=w%5E2=25 ALIGN=MIDDLE  ALT=\"w%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=5 ALIGN=MIDDLE  ALT=\"w=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides (only the positive square root is considered since a negative width doesn't make sense)\r<BR>\n" );
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document.write( "So the width is 5 m and the length (which is 3 times the width) is 3*5=15 m\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the width is 5 m and the length is 15 m </SPAN>\n" );
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