document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=385897>Question 385897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write an equation in the form ax^2+bx+c=0 given one root of 5+i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272909 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=272909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Divide both sides by a:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+bx%2Fa+%2B+c%2Fa+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+bx%2Fa+%2B+c%2Fa+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  If one root is 5+i then 5 - i is also a root.  Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-b%2Fa+=+5%2Bi+%2B+5+-+i+=+10 ALIGN=MIDDLE  ALT=\"-b%2Fa+=+5%2Bi+%2B+5+-+i+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or b = -10a.  Also, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2Fa+=+%285%2Bi%29%285+-+i%29+=+25+-i%5E2+=+26 ALIGN=MIDDLE  ALT=\"c%2Fa+=+%285%2Bi%29%285+-+i%29+=+25+-i%5E2+=+26\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or c = 26a.  Therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=ax%5E2+-+10ax+%2B+26a+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=ax%5E2+-+10ax+%2B+26a+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+10x+%2B+26+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+10x+%2B+26+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, after dividing by a. </SPAN>\n" );
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