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<HTML><HEAD><TITLE>20.3 Example Program - Roots of a Polynomial</TITLE></HEAD><BODY><A HREF="ug1.htm"><IMG SRC="images/banner.gif"></A><BR><A HREF="cre_7274.htm"><IMG SRC="images/prev.gif"></A><A HREF="booktoc1.htm"><IMG SRC="images/toc.gif"></A><A HREF="tindex1.htm"><IMG SRC="images/tindex.gif"></A><A HREF="num_8453.htm"><IMG SRC="images/next.gif"></A><BR><STRONG>Click on the banner to return to the user guide home page.</STRONG><H2>20.3 Example Program - Roots of a Polynomial</H2><A HREF="sidebar1.htm#sidebar79"><IMG SRC="images/note.gif" BORDER=0> <STRONG>Obtaining the Sample Program</STRONG></A><P>The roots of a polynomial <SAMP>a x2 + b x + c = 0</SAMP> are given by the formula:</P><P><SAMP>x = (-b _ sqrt(b2 - 4ac))/2a</SAMP></P><P>The following program takes as input three double precision numbers, and returns the complex roots as a pair of values.</P><PRE>typedef complex&#60;double> dcomplex;pair&#60;dcomplex, dcomplex> quadratic      (dcomplex a, dcomplex b, dcomplex c)         // return the roots of a quadratic equation{   dcomplex root = sqrt(b * b - 4.0 * a * c);   a *= 2.0;   return make_pair(      (-b + root)/a,       (-b - root)/a);}</PRE><BR><HR><A HREF="cre_7274.htm"><IMG SRC="images/prev.gif"></A> <A HREF="booktoc1.htm"><IMG SRC="images/toc.gif"></A><A HREF="tindex1.htm"><IMG SRC="images/tindex.gif"></A><A HREF="num_8453.htm"><IMG SRC="images/next.gif"></A><P>&copy;Copyright 1996, Rogue Wave Software, Inc.</P></BODY></HTML>

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