document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202880>Question 202880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two complex numbers is 6 and their product is 10. One number is?\r<BR>\n" );
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document.write( "a. -3+i<BR>\n" );
document.write( "b. -3-i<BR>\n" );
document.write( "c. 3+i<BR>\n" );
document.write( "d. -6+i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153051 by </B><A HREF=/tutors/aboutme.mpl?userid=dyakobovitch><B>dyakobovitch(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dyakobovitch><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=153051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two complex numbers is 6 and their product is 10. One number is?\r<BR>\n" );
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document.write( "a. -3+i<BR>\n" );
document.write( "b. -3-i<BR>\n" );
document.write( "***c. 3+i***<BR>\n" );
document.write( "d. -6+i\r<BR>\n" );
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document.write( "We assume that we are dealing with a quadratic equation. The sum of two numbers is -b/a=6. Our product is c/a=10.\r<BR>\n" );
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document.write( "A quadratic equation is defined as Ax^2+Bx+C=0.\r<BR>\n" );
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document.write( "So, let's simply test our solutions to see which ones hold. We know that imaginary solutions for quadratics come in pairs or conjugates. By testing our answers, we see that C. 3+ i is the only answer to satisfy the solution.\r<BR>\n" );
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document.write( "3+i and 3-i. The sum is 6. The product is 10. C. We are done.\r<BR>\n" );
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document.write( "-- <BR>\n" );
document.write( "David </SPAN>\n" );
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