document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144106>Question 1144106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this question:\r<BR>\n" );
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document.write( "Let f(x)= m-(1/x), for x≠0. The line y=x-m intersects the graph of f in two distinct points. Find the possible values of m.\r<BR>\n" );
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document.write( "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 #765096 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=765096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x)= m-(1/x), for x≠0. The line y=x-m intersects the graph of f in two distinct points. Find the possible values of m.<BR>\n" );
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document.write( "y = m-(1/x) --- x≠0<BR>\n" );
document.write( "y = x-m<BR>\n" );
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document.write( "m - 1/x = x - m<BR>\n" );
document.write( "mx - 1 = x^2 - mx<BR>\n" );
document.write( "x^2 - 2mx + 1 = 0<BR>\n" );
document.write( "Disc = (2m)^2 - 4 = 4m^2 - 4<BR>\n" );
document.write( "For 2 different values, the Discriminant > 0<BR>\n" );
document.write( "4m^2 - 4 > 0<BR>\n" );
document.write( "m^2 > 1<BR>\n" );
document.write( "|m| > 1  (absolute value of m)<BR>\n" );
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document.write( "PS Questions are answered, not solved.<BR>\n" );
document.write( "Problems are solved.<BR>\n" );
document.write( "Equations are solved.<BR>\n" );
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