document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39658>Question 39658</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write an inequality that contains both of the solutions of the equation?    4x=7+2/x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25070 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x=7+2/x<BR>\n" );
document.write( "Multiply both sides by \"x\" to get:<BR>\n" );
document.write( "4x^2=7x+2<BR>\n" );
document.write( "4x^2-7x-2=0<BR>\n" );
document.write( "4x^2-8x+x-2=0<BR>\n" );
document.write( "4x(x-2)+(x-2)=0<BR>\n" );
document.write( "(x-2)(4x+1)=0<BR>\n" );
document.write( "x=2 or x=-1/4<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );