document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999469>Question 999469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the zeroes, axis of symmetry, and vertex for the equation (3x^2-x-1=0) Please show steps if you can </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617112 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39627)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=617112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Equation or function?  As the equation mentioned and shown, it has ZEROS.\r<BR>\n" );
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document.write( "(3x --- 1)(x---  1)=0 seems not factorable.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%281%2B-+sqrt%281%5E2-4%2A3%2A%28-1%29%29%29%2F%282%2A3%29 ALIGN=MIDDLE  ALT=\"x=%281%2B-+sqrt%281%5E2-4%2A3%2A%28-1%29%29%29%2F%282%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%281%2B-+sqrt%2813%29%29%2F6%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%281%2B-+sqrt%2813%29%29%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------these are the zeros.\r<BR>\n" );
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document.write( "The FUNCTION  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3x%5E2-x-1 ALIGN=MIDDLE  ALT=\"f%28x%29=3x%5E2-x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in general form, can be converted into standard form.  You can read and study to learn how to do that.  <a  rel=nofollow HREF=\"http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev\">Lesson, how to complete the square to solve a quadratic equation</a>;  http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev\r<BR>\n" );
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document.write( "That will also give information about vertex and axis of symmetry.<BR>\n" );
document.write( "Say if you have further trouble with this.\r<BR>\n" );
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document.write( "The standard form function through completing the square and arranging is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3%28x-1%2F6%29%5E2-13%2F12 ALIGN=MIDDLE  ALT=\"f%28x%29=3%28x-1%2F6%29%5E2-13%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >; and vertex is  ( 1/6, -13/12).  Symmetry axis is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F6 ALIGN=MIDDLE  ALT=\"x=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Not sure what happened to your posted equation, but it is missing from what you posted.  The original equation was  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-x-1=0 ALIGN=MIDDLE  ALT=\"3x%5E2-x-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  I am trying to adjust what you posted so the equation shows up there again, at least. </SPAN>\n" );
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