document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186696>Question 186696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help me with this problem.  I am very confused.  Determine whether the following equation have a solution or not?  &#8730;2 x² - 4x – 7 &#8730;2 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139953 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> &#8730;2 x² - 4x – 7 &#8730;2 = 0<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The coefficients are:<BR>\n" );
document.write( "a = &#8730;2<BR>\n" );
document.write( "b = -4<BR>\n" );
document.write( "c = 7&#8730;2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The determinant (stuff under the radical in the quadratic equation):<BR>\n" );
document.write( "b^2 - 4ac<BR>\n" );
document.write( "= (-4)^2 - 4(&#8730;2)(7&#8730;2)<BR>\n" );
document.write( "= 16 - 4(2)(7)<BR>\n" );
document.write( "= 16 - (8)(7)<BR>\n" );
document.write( "= 16 - 56<BR>\n" );
document.write( "= -40<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Since the determinant is negative, you will have two complex solutions.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "See:<BR>\n" );
document.write( "http://www.purplemath.com/modules/quadform3.htm<BR>\n" );
document.write( "for additional information<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );