document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168257>Question 168257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:\r<BR>\n" );
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document.write( "Find both values of x which satisfy the equation x + 1/x = 7 + 1 /7 .\r<BR>\n" );
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document.write( "x= ___________________   or x= ______________________\r<BR>\n" );
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document.write( "Explain how you got your answers.    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124032 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=124032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find both values of x which satisfy the equation<BR>\n" );
document.write( " x + 1/x = 7 + 1 /7 .<BR>\n" );
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document.write( "Multiply equation by 7x to get rid of the denominators, results:<BR>\n" );
document.write( "7x^2 + 7 = 49x + x<BR>\n" );
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document.write( "7x^2 + 7 = 50x<BR>\n" );
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document.write( "7x^2 - 50x + 7 = 0; a quadratic equation<BR>\n" );
document.write( "factors to<BR>\n" );
document.write( "(7x - 1)(x - 7) = 0<BR>\n" );
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document.write( "7x = 1<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F7 ALIGN=MIDDLE  ALT=\"1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <BR>\n" );
document.write( "x = 7  </SPAN>\n" );
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