document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024734>Question 1024734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help with quadratic equation with roots :  &#8730;2x2  — 3x + &#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 #640118 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=640118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if you graph this equation, you will get roots of:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = sqrt(2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = sqrt(2)/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sqrt(2) = 1.4142....\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "sqrt(2)/2 = .7071...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the graph is shown below:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/031301.jpg\" alt=\"###\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if you use the quadratic formula, you will get the same answer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "my worksheet is shown below:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/031302.jpg\" alt=\"$$$\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since the graph says those are the roots and the quadratic equations says those are the roots, i'm reasonably confident that those are the roots.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "where the whole thing falls down is when i try to create factors from the roots.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "then i run into difficulty.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "but, since you were asked to find the roots, and not the factors, then i believe i've succeeded.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the roots are as indicated above as confirmed in the worksheet and the graph.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );