document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164655>Question 164655</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 86.) Find all real or imaginary solutions. use the method of your choice.\r<BR>\n" );
document.write( "\n" );
document.write( "3v^2 + 4v - 1 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121325 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3v%5E2%2B4v-1=0 ALIGN=MIDDLE  ALT=\"3v%5E2%2B4v-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's use the quadratic formula,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"v+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A3%2A%28-1%29+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"v+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A3%2A%28-1%29+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+%28-4+%2B-+sqrt%28+16%2B12+%29%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"v+=+%28-4+%2B-+sqrt%28+16%2B12+%29%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+%28-4+%2B-+sqrt%28+28+%29%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"v+=+%28-4+%2B-+sqrt%28+28+%29%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+%28-4+%2B-+2%2Asqrt%28+7+%29%29%2F%286%29+ ALIGN=MIDDLE  ALT=\"v+=+%28-4+%2B-+2%2Asqrt%28+7+%29%29%2F%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v+=+%28-2+%2B-+sqrt%28+7+%29%29%2F%283%29+ ALIGN=MIDDLE  ALT=\"v+=+%28-2+%2B-+sqrt%28+7+%29%29%2F%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Approximately<BR>\n" );
document.write( "v=0.22,-1.55<BR>\n" );
document.write( "Here a graph of the function to check our solution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-3%2C+3%2C+-5%2C+5%2C+3x%5E2%2B4x-1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-3%2C+3%2C+-5%2C+5%2C+3x%5E2%2B4x-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );