document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60849>Question 60849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x by using the quadratic formula:  9x^2-6x+5=0<BR>\n" );
document.write( "thanks so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854050 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53742)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "solve for x by using the quadratic formula: 9x^2-6x+5=0<BR>\n" );
document.write( "thanks so much<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The solution by @jai_kos is incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;See my correct solution below.\r<BR>\n" );
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document.write( "9x^2-6x+5=0\r<BR>\n" );
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document.write( "It is the quadratic equation of the form.\r<BR>\n" );
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document.write( "ax^2+bx +c =0\r<BR>\n" );
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document.write( "Comparing the equations, we get<BR>\n" );
document.write( "a = 9, b = -6 and  c = 5\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A9%2A5+%29%29%2F%282%2A9%29+ ALIGN=MIDDLE  ALT=\"%28-%28-6%29+%2B-+sqrt%28+%28-6%29%5E2-4%2A9%2A5+%29%29%2F%282%2A9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286+%2B-+sqrt%28+36-180+%29%29%2F18+ ALIGN=MIDDLE  ALT=\"%286+%2B-+sqrt%28+36-180+%29%29%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "  <BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286+%2B-+sqrt%28-144%29%29%2F18+ ALIGN=MIDDLE  ALT=\"%286+%2B-+sqrt%28-144%29%29%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286+%2B-+12i%29%2F18+ ALIGN=MIDDLE  ALT=\"%286+%2B-+12i%29%2F18+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2B-+2i%29%2F3 ALIGN=MIDDLE  ALT=\"%281+%2B-+2i%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Thus the given equation has no real solutions.<BR>\n" );
document.write( "It has two conjugate solutions in complex numbers.\r<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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