document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174621>Question 174621</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9781567655568/algebrahomeworkh>amscos preparing for the regents examination mathematics b</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 3. if one root of a function is 1/2 - 2i, what is the equation of this function?<BR>\n" );
document.write( "    (a) 4x^2 - 17x + 4 = 0<BR>\n" );
document.write( "    (b) 4x^2 - 4x + 17 = 0<BR>\n" );
document.write( "    (c) x^2 - x + 17 = 0<BR>\n" );
document.write( "    (d) 4x^2 + 4x + 17 = 0\r<BR>\n" );
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document.write( "show work thanks!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129648 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=129648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if one root of a function is 1/2 - 2i, what is the equation of this function?<BR>\n" );
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document.write( "If the coefficients are Real Numbers then 1/2 + 2i must be a root.<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "(x - (1/2 - 2i)(x - (1/2 + 2i)) = 0<BR>\n" );
document.write( "Rearrange:\r<BR>\n" );
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document.write( "((x - 1/2) + 2i)((x - 1/2) - 2i) = 0\r<BR>\n" );
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document.write( "This is the form (a+b)(a-b) which = a^2 - b^2<BR>\n" );
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document.write( "(x-1/2)^2 - (2i)^2 = 0\r<BR>\n" );
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document.write( "x^2 -x + (1/4) - 4i^2 = 0\r<BR>\n" );
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document.write( "x^2 -x + 17/4 = 0<BR>\n" );
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document.write( "4x^2 - 4x + 17 = 0<BR>\n" );
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document.write( "Ans: b<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "(a) 4x^2 - 17x + 4 = 0<BR>\n" );
document.write( "(b) 4x^2 - 4x + 17 = 0<BR>\n" );
document.write( "(c) x^2 - x + 17 = 0<BR>\n" );
document.write( "(d) 4x^2 + 4x + 17 = 0 <BR>\n" );
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