document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197839>Question 197839</A>: <I><SPAN STYLE=\"word-break: break-all;\">   Please help me with this multiple choice question:<BR>\n" );
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document.write( "    Which quadratic equation has the roots 3+i and 3-i?\r<BR>\n" );
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document.write( "   a) x^2 + 6x-10 = 0    b) x^2 + 6x + 8= 0   c) x^2 - 6x+10 = 0     d) x^2- 6x-8 =0\r<BR>\n" );
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document.write( "  thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148332 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=148332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "If a quadratic equation has roots <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE b\">, then <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x - a\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x - b\"> are factors of the quadratic polynomial, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \left(x - (3 + i)\right)\left(x - (3 - i)\right)\">\r<BR>\n" );
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document.write( "are the factors of the polynomial that you are looking for.  Just multiply it out and collect like terms to find the appropriate quadratic polynomial.  Hint:  Consider 3 + i and 3 - i as single numbers and use FOIL.  The product of those two numbers will be the difference of two squares.  Also remember that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE i^2 = -1\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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