document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92719>Question 92719</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question: Solve: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%5E2%2B5x%3C4 ALIGN=MIDDLE  ALT=\"6x%5E2%2B5x%3C4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "How do i solve this? Do i need a chart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67670 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=67670\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the roots of the equality 6x^2+5x=4 ... 6x^2+5x-4=0 ... factoring gives (3x+4)(2x-1)=0 ... so the roots are -3/4 and 1/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the roots are the \"boundry points\" between solutions ... in this case, the three ranges are <-3/4, between -3/4 and 1/2, and >1/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "test a range by choosing a value in it ... 0 is between -3/4 and 1/2 ... 6(0^2)+5(0)<4 ... 0<4 so x must be between -3/4 and 1/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "testing the other ranges will show no solution; this is because the \"boundry points\" are between solutions and non-solutions\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(-3/4) < x < (1/2) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );