document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68000>Question 68000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a quadratic function in the form of y = ax2 + bx + c that would have the given roots.\r<BR>\n" );
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document.write( "   1. x = 2i and x = –2i<BR>\n" );
document.write( "   2. x =3 + i and x = 3 – i  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48345 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. x = 2i and x = –2i<BR>\n" );
document.write( "x=2i<BR>\n" );
document.write( "x-2i=0 [set each variable equal to zero]<BR>\n" );
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document.write( "x=-2i<BR>\n" );
document.write( "x+2i<BR>\n" );
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document.write( "(x-2i)(x+2i) [multiply the roots]<BR>\n" );
document.write( "x^2+2ix-2ix-4i^2 [multiply using the FOIL method]<BR>\n" );
document.write( "x^2-4i^2  [Rule: i^2=-1]<BR>\n" );
document.write( "x^2-4(-1)<BR>\n" );
document.write( "x^2+4<BR>\n" );
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document.write( "check by using the quadratic formula to find the roots of y=x^2+4. The roots should be imaginary numbers.<BR>\n" );
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document.write( " 2. x =3 + i and x = 3 – i \r<BR>\n" );
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document.write( "(x-3-i)(x-3+i)[set each factor equal to zero and multiply the factors]<BR>\n" );
document.write( "x^2-6x-i^2+9 [simplify]<BR>\n" );
document.write( "x^2-6x-(-1)+9<BR>\n" );
document.write( "x^2-6x+1+9<BR>\n" );
document.write( "x^2-6x+10<BR>\n" );
document.write( "Check by using the quadratic formula to find the roots of x^2-6x+10 </SPAN>\n" );
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