document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176837>Question 1176837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the quadratic formula to solve for the roots.<BR>\n" );
document.write( "Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B3x-2=0 ALIGN=MIDDLE  ALT=\"3x%5E2%2B3x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I think it's ax2+bx+c=0 but I get lost on how to work it out.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804663 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=804663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The ax^2+bx+c = 0 is known as standard form for a quadratic. Compare that to what you were given and we see that<BR>\n" );
document.write( "a = 3<BR>\n" );
document.write( "b = 3<BR>\n" );
document.write( "c = -2\r<BR>\n" );
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document.write( "Those values are then plugged into the quadratic formula below. I broke up the \"plus/minus\" to form two separate equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%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=x+=+%28-3%2Bsqrt%28%283%29%5E2-4%283%29%28-2%29%29%29%2F%282%283%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-3%2Bsqrt%28%283%29%5E2-4%283%29%28-2%29%29%29%2F%282%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3-sqrt%28%283%29%5E2-4%283%29%28-2%29%29%29%2F%282%283%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-3-sqrt%28%283%29%5E2-4%283%29%28-2%29%29%29%2F%282%283%29%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=x+=+%28-3%2Bsqrt%2833%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-3%2Bsqrt%2833%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3-sqrt%2833%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-3-sqrt%2833%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Exact Solutions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3%2B5.74456264653803%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-3%2B5.74456264653803%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3-5.74456264653803%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-3-5.74456264653803%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use a calculator from here.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282.74456264653803%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%282.74456264653803%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8.74456264653803%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-8.74456264653803%29%2F%286%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=x+=+0.457427107756338 ALIGN=MIDDLE  ALT=\"x+=+0.457427107756338\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.45742710775634 ALIGN=MIDDLE  ALT=\"x+=+-1.45742710775634\"   DISABLED_style= \"max-width:90%; height:auto;\" > Values are approximate\r<BR>\n" );
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document.write( "So to recap, the exact solutions are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3%2Bsqrt%2833%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-3%2Bsqrt%2833%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-3-sqrt%2833%29%29%2F%286%29 ALIGN=MIDDLE  ALT=\"x+=+%28-3-sqrt%2833%29%29%2F%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "which approximate to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0.457427107756338 ALIGN=MIDDLE  ALT=\"x+=+0.457427107756338\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.45742710775634 ALIGN=MIDDLE  ALT=\"x+=+-1.45742710775634\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "in that exact order given<BR>\n" );
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