document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=505829>Question 505829</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4x^2-5 < 8x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339979 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339979\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^2-5 < 8x<BR>\n" );
document.write( "4x^2-8x-5<0<BR>\n" );
document.write( "4x^2-8x-5=0 Change equation to equal to zero temporarily.<BR>\n" );
document.write( "4*-5=-20, two factors of -20 whose sum is -8 are -10 and +2.<BR>\n" );
document.write( "4x^2+2x-10x-5=0<BR>\n" );
document.write( "2x(2x+1)-5(2x+1)=0<BR>\n" );
document.write( "(2x-5)(2x+1)=0<BR>\n" );
document.write( "x=5/2, x=-1/2 These are the x intercepts on the graph. We have to test the equation on the second line above and below the intercepts to find where y<0<BR>\n" );
document.write( "x=-1:y=4+8-5=+7 positive<BR>\n" );
document.write( "x=0:y=0+0-5=-5 negative<BR>\n" );
document.write( "x=3:y=36-24-5=+7 positive<BR>\n" );
document.write( "So y is negative between -1/2 and 5/2.<BR>\n" );
document.write( "-1/2<x<5/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );