document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=49472>Question 49472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by using the quadratic formula.  x2 = 3x – 1  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32847 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=32847\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=3x-1 ALIGN=MIDDLE  ALT=\"x%5E2=3x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > by using the quadratic formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > First put your equation in the standard form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=3x-1 ALIGN=MIDDLE  ALT=\"x%5E2=3x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3x from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x+=+-1 ALIGN=MIDDLE  ALT=\"x%5E2-3x+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now add 1 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x%2B1+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-3x%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now apply the quadratic formula. Here, a=1, b=-3, and c=1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-3%29%2B-sqrt%28%28-3%29%5E2-4%281%29%281%29%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-3%29%2B-sqrt%28%28-3%29%5E2-4%281%29%281%29%29%29%2F2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%283%2B-sqrt%289-4%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%283%2B-sqrt%289-4%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%283%2B-sqrt%285%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%283%2B-sqrt%285%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "The roots are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F2%29%283%2Bsqrt%285%29%29 ALIGN=MIDDLE  ALT=\"x+=+%281%2F2%29%283%2Bsqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281%2F2%29%283-sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"x+=+%281%2F2%29%283-sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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