document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81780>Question 81780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact length of the side of a square whose diagonal is 3 feet. <BR>\n" );
document.write( "This is what I have.<BR>\n" );
document.write( "x^2 + x^2 = (x + 3)^2<BR>\n" );
document.write( "x^2 + 4x + 9<BR>\n" );
document.write( "x^2 - 4x - 9 = 0<BR>\n" );
document.write( "x= 4 plus/minus sqrt 39 - 9(1)(-4)/2(1)<BR>\n" );
document.write( "6 + 9 sqrt (2)/2<BR>\n" );
document.write( "= 6 + 3 sqrt (2)<BR>\n" );
document.write( "Would appreciate any help with this question. Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58605 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=58605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since we know the diagonal is 3 feet we can use Pythagoreans theorem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > with 3 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2=3%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2=3%5E2\"   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=2x%5E2=9 ALIGN=MIDDLE  ALT=\"2x%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2=9 ALIGN=MIDDLE  ALT=\"2x%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=9%2F2 ALIGN=MIDDLE  ALT=\"x%5E2=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%289%2F2%29 ALIGN=MIDDLE  ALT=\"x=sqrt%289%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \pm\frac{3}{sqrt{2}}\"> Reduce\r<BR>\n" );
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document.write( "Since a negative length doesn't make sense our only answer is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"x=3%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "Plug in the leg <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"3%2Fsqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > into Pythagoreans theorem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Fsqrt%282%29%29%5E2%2B%283%2Fsqrt%282%29%29%5E2=3%5E2 ALIGN=MIDDLE  ALT=\"%283%2Fsqrt%282%29%29%5E2%2B%283%2Fsqrt%282%29%29%5E2=3%5E2\"   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=9%2F2%2B9%2F2=3%5E2 ALIGN=MIDDLE  ALT=\"9%2F2%2B9%2F2=3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square each individual term\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F2=3%5E2 ALIGN=MIDDLE  ALT=\"18%2F2=3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=3%5E2 ALIGN=MIDDLE  ALT=\"9=3%5E2\"   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=sqrt%289%29=sqrt%283%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%289%29=sqrt%283%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3=3 ALIGN=MIDDLE  ALT=\"3=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > works. This verifies our answer. </SPAN>\n" );
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