document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=594701>Question 594701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that &#945; and &#946; are the roots of the quadratic equation, 3x²-2x-1=0 , find the value of:<BR>\n" );
document.write( "-&#945;+&#946;<BR>\n" );
document.write( "-&#945;&#946;<BR>\n" );
document.write( "-&#945;²+&#946;² </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #376858 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=376858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the roots of the quadratic:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \alpha, \beta = \frac{2 \pm \sqrt{4 - 4(-3)}}{6} = \frac{1 \pm 2}{3} = 1, -\frac{1}{3}\">\r<BR>\n" );
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document.write( "Compute the three requested values. However, the values of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -\alpha + \beta\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -\alpha^2 + \beta^2\"> are ambiguous, as they depend on which roots you assign alpha and beta.<BR>\n" );
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