document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32336>Question 32336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Compute the value of the discriminant and give the number or real solutions to the quadratic equation.\r<BR>\n" );
document.write( "\n" );
document.write( "-9x^2 +6x -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 #18938 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=18938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Discriminant for quadratic equation ax^2+bx+c =0 is (b^2-4ac) <BR>\n" );
document.write( "Here a=-9, b=6 and c=-1<BR>\n" );
document.write( "(b^2-4ac) = 36-4(-9)(-1) = 36-36 = 0<BR>\n" );
document.write( "Since the discriminant is zero, there is only one real solution to this equation, which is -b/2a = 6/18 = 1/3<BR>\n" );
document.write( "Answer: x= 1/3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );