document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199114>Question 199114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many solutions exist for a quadratic equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149589 by </B><A HREF=/tutors/aboutme.mpl?userid=actuary><B>actuary(112)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=actuary><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=149589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A quadratic equation may have 0,1,or 2 REAL solutions.  REAL solutions refers to real numbers as compared to COMPLEX numbers.\r<BR>\n" );
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document.write( "To determine the number of REAL solutions, you need to calculate the amount under the radical arising from the application of the quadratic formula, i,e b^2-4ac.\r<BR>\n" );
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document.write( "b^2-4ac is called the determinant. If the determinant = 0, the quadratic equation has one REAL solution.  If the determinant > 0, the quadratic equation has 2 REAL solutions.  If the determinant < 0, there are 0 REAL solutions.\r<BR>\n" );
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document.write( "Larry\r<BR>\n" );
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