document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199257>Question 199257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone help me with these:<BR>\n" );
document.write( "What is the sum of the roots of the equation ax^2+bx+c=0 ?<BR>\n" );
document.write( "What is the product of their roots?<BR>\n" );
document.write( "How would I solve this equation x^3+2x^2+x+2=0, if -2 is a root?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149711 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=149711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The roots are:<BR>\n" );
document.write( "(-b/2a) + sqrt(b^2-4ac)/2a  and  (-b/2a) - sqrt(b^2-4ac)/(2a)<BR>\n" );
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document.write( "What is the sum of the roots of the equation ax^2+bx+c=0 ?<BR>\n" );
document.write( "sum = 2(-b/2a) = -b/a<BR>\n" );
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document.write( "What is the product of their roots?<BR>\n" );
document.write( "product is [b/2a]^2 - [sqrt(b^2-4ac)/2a]^2<BR>\n" );
document.write( "= [b^2/4a^2] - [(b^2-4ac)/(4a^2)<BR>\n" );
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document.write( "How would I solve this equation x^3+2x^2+x+2=0, if -2 is a root?<BR>\n" );
document.write( "Use synthetic division:<BR>\n" );
document.write( "-2)....1....2....1....2<BR>\n" );
document.write( ".........1...0....1....|..0\r<BR>\n" );
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document.write( "Quotient: x^2 +1<BR>\n" );
document.write( "Remainder:0<BR>\n" );
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document.write( "Solving x^2+1 = 0<BR>\n" );
document.write( "(x+i)(x-i) = 0<BR>\n" );
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document.write( "Solutions: x = -2, x = i, x = -i\r<BR>\n" );
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document.write( "------------------------------------------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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