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20.3 Example Program - Roots of a Polynomial
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20.3 Example Program - Roots of a Polynomial
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The roots of a polynomial a x2 + b x + c = 0 are given by the formula:
x = (-b _ sqrt(b2 - 4ac))/2a
The following program takes as input three double precision numbers, and returns the complex roots as a pair of values.
typedef complex<double> dcomplex; pair<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); }
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