document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935085>Question 935085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x = ( 7 plus 4 sqrt 3 ) , then the value of x squared  plus 1 divided by  x squared is -----? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568208 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7%2B4%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"x+=+7%2B4%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "Formula:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%2Bb%29%5E2=a%5E2%2Bb%5E2%2B2ab ALIGN=MIDDLE  ALT=\"+%28a%2Bb%29%5E2=a%5E2%2Bb%5E2%2B2ab\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          here a = x , b =1/x<BR>\n" );
document.write( "      so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B1%2Fx%29%5E2=+x%5E2%2B%281%2Fx%29%5E2%2B2%2Ax%2A1%2Fx ALIGN=MIDDLE  ALT=\"+%28x%2B1%2Fx%29%5E2=+x%5E2%2B%281%2Fx%29%5E2%2B2%2Ax%2A1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "             <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B1%2Fx%29%5E2=+x%5E2%2B1%2Fx%5E2%2B2 ALIGN=MIDDLE  ALT=\"+%28x%2B1%2Fx%29%5E2=+x%5E2%2B1%2Fx%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " move 2 to the right<BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B1%2Fx%29%5E2+-2+=+x%5E2%2B1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"+%28x%2B1%2Fx%29%5E2+-2+=+x%5E2%2B1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....eq(1)<BR>\n" );
document.write( "but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=+7%2B4%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"+x=+7%2B4%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx++=+1%2F%287%2B4%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"1%2Fx++=+1%2F%287%2B4%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          we have to rationalize the above term\r<BR>\n" );
document.write( "\n" );
document.write( "             multiply and divide with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287-4%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%287-4%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fx+=+%281%2F%287%2B4%2Asqrt%283%29%29%29%2A%28%287-4%2Asqrt%283%29%29%2F%287-4%2Asqrt%283%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fx+=+%287-4%2Asqrt%283%29%29%2F%28%287%2B4%2Asqrt%283%29%29%2A%287-4%2Asqrt%283%29%29%29 ALIGN=MIDDLE  ALT=\"+1%2Fx+=+%287-4%2Asqrt%283%29%29%2F%28%287%2B4%2Asqrt%283%29%29%2A%287-4%2Asqrt%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p%2Bq%29%2A%28p-q%29=+p%5E2-q%5E2 ALIGN=MIDDLE  ALT=\"%28p%2Bq%29%2A%28p-q%29=+p%5E2-q%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2Fx+=+%287-4%2Asqrt%283%29%29%2F%287%5E2-%284%2Asqrt%283%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"+1%2Fx+=+%287-4%2Asqrt%283%29%29%2F%287%5E2-%284%2Asqrt%283%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "              <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx+=+%287-4%2Asqrt%283%29%29%2F%2849-16%2A3%29 ALIGN=MIDDLE  ALT=\"1%2Fx+=+%287-4%2Asqrt%283%29%29%2F%2849-16%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "              <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx+=%287-4%2Asqrt%283%29%29%2F%2849-48%29 ALIGN=MIDDLE  ALT=\"1%2Fx+=%287-4%2Asqrt%283%29%29%2F%2849-48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "                   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx+=%287-4%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"1%2Fx+=%287-4%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B1%2Fx++=++7%2B4%2Asqrt%283%29%2B7-4%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"+x%2B1%2Fx++=++7%2B4%2Asqrt%283%29%2B7-4%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B1%2Fx+=+14 ALIGN=MIDDLE  ALT=\"+x%2B1%2Fx+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     put  x+1/x = 14 in eq (1)<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14%5E2-2+=x%5E2%2B1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"+14%5E2-2+=x%5E2%2B1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=196-2=+x%5E2%2B1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"196-2=+x%5E2%2B1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=194+=x%5E2%2B1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"194+=x%5E2%2B1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2B1%2Fx%5E2+=194 ALIGN=MIDDLE  ALT=\"+x%5E2%2B1%2Fx%5E2+=194\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "        </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );