document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256204>Question 256204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each quadratic equation.\r<BR>\n" );
document.write( "\n" );
document.write( "1. 2x^2 - 3x - 11 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "2. 3x^2 + 48 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "3. 2x^2 - x + 1 = 0<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188376 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=188376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solving 1 at a time, we get:<BR>\n" );
document.write( "1. 2x^2 - 3x - 11 = 0<BR>\n" );
document.write( "we can't factor, so we use the quadratic as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%283+%2B-+sqrt%289-4%2A2%2A%28-11%29%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"x+=+%283+%2B-+sqrt%289-4%2A2%2A%28-11%29%29%29%2F%284%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%283%2B-+sqrt%2891%29%29%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%283%2B-+sqrt%2891%29%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "2. 3x^2 + 48 = 0<BR>\n" );
document.write( "divide by 3 to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B16=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B16=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract 16 to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+-16 ALIGN=MIDDLE  ALT=\"x%5E2+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "take a square root and we get<BR>\n" );
document.write( "no solution<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "+ or - 4i.<BR>\n" );
document.write( "3. 2x^2 - x + 1 = 0<BR>\n" );
document.write( "we can't factor this so we apply quadratic as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281+%2B-+sqrt%281-4%2A2%2A1%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%281+%2B-+sqrt%281-4%2A2%2A1%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281+%2B-+sqrt%28-7%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%281+%2B-+sqrt%28-7%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which has no solution or has imaginary roots. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );