document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207677>Question 1207677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the real solutions of the equation. Use a calculator to express any solutions rounded to two decimal places.\r<BR>\n" );
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document.write( "pi(1 + r)^2 = 2 + pi(1 + t) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845682 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We do not know the value of t .\r<BR>\n" );
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document.write( "The equation<BR>\n" );
document.write( "pi(1 + r)^2 = 2 + pi(1 + t)\r<BR>\n" );
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document.write( "Expand \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%281%2B2r%2Br%5E2%29=+2%2Bpi%2Bpit ALIGN=MIDDLE  ALT=\"pi%281%2B2r%2Br%5E2%29=+2%2Bpi%2Bpit\"   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=pi+%2B2pir+%2Bpir%5E2+=+2%2Bpi%2Bpit ALIGN=MIDDLE  ALT=\"pi+%2B2pir+%2Bpir%5E2+=+2%2Bpi%2Bpit\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by pi\r<BR>\n" );
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document.write( "1+2r+r^2 = (2/pi) +1+t\r<BR>\n" );
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document.write( "r^2 +2r -(t+2/pi )=0\r<BR>\n" );
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document.write( "Comparing the equation with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2Bbx+%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2Bbx+%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here a = 1  b = 2  c = -(t+2/pi)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Discriminant =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac++=++4%2B4%28t%2B%282%2Fpi%29%29 ALIGN=MIDDLE  ALT=\"b%5E2-4ac++=++4%2B4%28t%2B%282%2Fpi%29%29\"   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=4%281%2Bt%2B%282%2Fpi%29%29 ALIGN=MIDDLE  ALT=\"4%281%2Bt%2B%282%2Fpi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "r =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2+%2B-+sqrt%284%281%2Bt%2B2%2Fpi%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28-2+%2B-+sqrt%284%281%2Bt%2B2%2Fpi%29%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%2B-+2+sqrt%281%2Bt%2B%282%2Fpi%29%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28-2%2B-+2+sqrt%281%2Bt%2B%282%2Fpi%29%29%29%2F2\"   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=r=++%28-1%2B-+sqrt%281%2Bt%2B2%2Fpi%29%29 ALIGN=MIDDLE  ALT=\"r=++%28-1%2B-+sqrt%281%2Bt%2B2%2Fpi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "t = ?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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