document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894668>Question 894668</A>: <I><SPAN STYLE=\"word-break: break-all;\">  1+(1/x^2)=(3/x)<BR>\n" );
document.write( "what are the solutions to the equation?<BR>\n" );
document.write( "A. x=(3/2)+(square root of 5/2); x=(3/2)-(square root of 5/2)<BR>\n" );
document.write( "B.x=(3)+(square root of 5/2); x=(3)-(square root of 5/2)<BR>\n" );
document.write( "C.x=(3/2)+(square root of 13/2); x=(3/2)-(square root of 13/2)<BR>\n" );
document.write( "D.x=(3)+(square root of 13/2); x=(3)-(square root of 13/2)<BR>\n" );
document.write( "i get most of how to do it but im messing up which getting the answer im not getting one of these a, b, c, d </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542244 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=542244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Maybe the results you are getting are the same as one of the options, but expressed in an equivalent form.<BR>\n" );
document.write( "There are many ways to solve the equation.<BR>\n" );
document.write( "I would start by multiplying both sides of the equal sign times <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;\" > ,<BR>\n" );
document.write( "and then I would solve the resulting quadratic equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B1%2Fx%5E2=3%2Fx ALIGN=MIDDLE  ALT=\"1%2B1%2Fx%5E2=3%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%281%2B1%2Fx%5E2%29=x%5E2%283%2Fx%29 ALIGN=MIDDLE  ALT=\"x%5E2%281%2B1%2Fx%5E2%29=x%5E2%283%2Fx%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%5E2%2B1=3x ALIGN=MIDDLE  ALT=\"x%5E2%2B1=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B1=0 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One way to solve that quadratic equation is by completing the square><BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x ALIGN=MIDDLE  ALT=\"x%5E2-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is part of the square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B9%2F4=%28x-3%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B9%2F4=%28x-3%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "we can complete the square by adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F4 ALIGN=MIDDLE  ALT=\"9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "of course, we add it to both sides of the equation, to get an equivalent equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B1=0 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x=-1 ALIGN=MIDDLE  ALT=\"x%5E2-3x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B9%2F4=-1%2B9%2F4 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B9%2F4=-1%2B9%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%2F2%29%5E2=5%2F4 ALIGN=MIDDLE  ALT=\"%28x-3%2F2%29%5E2=5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%2F2%29%5E2=%28sqrt%285%29%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28x-3%2F2%29%5E2=%28sqrt%285%29%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x-3%2F2=sqrt%285%29%2F2%2C%22or%22%2Cx-3%2F2=-sqrt%285%29%2F2%29 ALIGN=MIDDLE  ALT=\"system%28x-3%2F2=sqrt%285%29%2F2%2C%22or%22%2Cx-3%2F2=-sqrt%285%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28highlight%28x=3%2F2%2Bsqrt%285%29%2F2%29%2C%22or%22%2Chighlight%28x=3%2F2-sqrt%285%29%2F2%29%29%7D%7D%0D%0A+%0D%0AYou+may+prefer+to+solve+%7B%7B%7Bx%5E2-3x%2B1=0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > by using the quadratic formula,<BR>\n" );
document.write( "which says that the solutions to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bb3x%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bb3x%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > are given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In the case of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B1=0 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-3 ALIGN=MIDDLE  ALT=\"b=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=1 ALIGN=MIDDLE  ALT=\"c=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-3%29+%2B-+sqrt%28%28-3%29%5E2-4%2A1%2A1+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-3%29+%2B-+sqrt%28%28-3%29%5E2-4%2A1%2A1+%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=x+=+%283+%2B-+sqrt%289-4%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%283+%2B-+sqrt%289-4%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=x+=+%283+%2B-+sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%283+%2B-+sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is the same as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2+%2B-+sqrt%285%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+3%2F2+%2B-+sqrt%285%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is a way of saying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28highlight%28x=3%2F2%2Bsqrt%285%29%2F2%29%2C%22or%22%2Chighlight%28x=3%2F2-sqrt%285%29%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );