document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017157>Question 1017157</A>: <I><SPAN STYLE=\"word-break: break-all;\">  If 4 + I and 4 - I are roots of the equation z^2 + az + b = 0 find the value of a and the value of b?\r<BR>\n" );
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document.write( "For the format: ax² + bx + c = 0 \r<BR>\n" );
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document.write( "Sum of the roots = - b/a \r<BR>\n" );
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document.write( "Product of the roots = c/a \r<BR>\n" );
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document.write( "given: (4 + i) and (4 - i) \r<BR>\n" );
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document.write( "8 = - b/a <BR>\n" );
document.write( "17 = c/a \r<BR>\n" );
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document.write( "a = (- b)/8 = 1 <BR>\n" );
document.write( "- b = 8 <BR>\n" );
document.write( "b = - 8 \r<BR>\n" );
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document.write( "a = c/17 = 1 <BR>\n" );
document.write( "c = 17 \r<BR>\n" );
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document.write( "equation is: z² - 8z + 17 = 0 \r<BR>\n" );
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document.write( "check...do something </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #633557 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  If 4 + I and 4 - I are roots of the equation z^2 + az + b = 0 find the value of a and the value of b?\r<BR>\n" );
document.write( "\n" );
document.write( "For the format: ax² + bx + c = 0 \r<BR>\n" );
document.write( "\n" );
document.write( "Sum of the roots = - b/a \r<BR>\n" );
document.write( "\n" );
document.write( "Product of the roots = c/a \r<BR>\n" );
document.write( "\n" );
document.write( "given: (4 + i) and (4 - i) \r<BR>\n" );
document.write( "\n" );
document.write( "8 = - b/a <BR>\n" );
document.write( "17 = c/a \r<BR>\n" );
document.write( "\n" );
document.write( "a = (- b)/8 = 1 <BR>\n" );
document.write( "- b = 8 <BR>\n" );
document.write( "b = - 8 \r<BR>\n" );
document.write( "\n" );
document.write( "a = c/17 = 1 <BR>\n" );
document.write( "c = 17 \r<BR>\n" );
document.write( "\n" );
document.write( "equation is: z² - 8z + 17 = 0 \r<BR>\n" );
document.write( "\n" );
document.write( "check...do something<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">Who writes these RIDICULOUS math problems?<BR>\n" );
document.write( "The general form of a quadratic equation is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or in this case: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=az%5E2+%2B+bz+%2B+c+=+0 ALIGN=MIDDLE  ALT=\"az%5E2+%2B+bz+%2B+c+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Why give: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2+%2B+az+%2B+b+=+0 ALIGN=MIDDLE  ALT=\"z%5E2+%2B+az+%2B+b+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "Why would a quadratic equation be written with the NORMAL variable on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >: \"a\" as the variable on \"x\", and the NORMAL<BR>\n" );
document.write( "variable on x: \"b,\" as the constant: \"c.\"? Why do these people make these RIDICULOUSLY confusing math problems?<BR>\n" );
document.write( "Anyway, you're correct, the variable on z, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28a+=+-+8%29 ALIGN=MIDDLE  ALT=\"highlight_green%28a+=+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the constant, or variable, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28b+=+17%29 ALIGN=MIDDLE  ALT=\"highlight_green%28b+=+17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for the quadratic equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z%5E2+-+8z+%2B+17+=+0%29 ALIGN=MIDDLE  ALT=\"highlight%28z%5E2+-+8z+%2B+17+=+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );