document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6274>Question 6274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to find all real and imaginary numbers. My guess is to factor, but I don't think it does.\r<BR>\n" );
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document.write( "   3x(x)+ 2x + 1 = 0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3377 by </B><A HREF=/tutors/aboutme.mpl?userid=xcentaur><B>xcentaur(357)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=xcentaur><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=3377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x^2 + 2x + 1 = 0<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=[-2 +- sqrt(4 - 4(3)(1))]/2(3)<BR>\n" );
document.write( "x=[-2 +- sqrt(4 - 4(3)(1))]/2(3)<BR>\n" );
document.write( "x=[-2 +- sqrt(4 - 12)]/6<BR>\n" );
document.write( "x=[-2 +- sqrt(-8)]/6<BR>\n" );
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document.write( "Now the discriminant is less than zero (-8). Therefore there are no real solutions,both will be imaginary.<BR>\n" );
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document.write( "square root of -8 = +- 2.8284271247461900976033774484194<BR>\n" );
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document.write( "x=[-2 +- i(2.8284271247461900976033774484194)]/6<BR>\n" );
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document.write( "Hope this helps,<BR>\n" );
document.write( "good luck </SPAN>\n" );
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