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A simple program to solve quadratic equations with

, 9 Nov 2010
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// Real solutions of the quadratic equation A x^2 + B x + C = 0// Returns two roots (possibly identical) in increasing order, or nonebool Quadratic(double A, double B, double C, double R[2]){ if (A == 0) { // Linear, impossible or degenerate, cannot find two roots ...
// Real solutions of the quadratic equation A x^2 + B x + C = 0
// Returns two roots (possibly identical) in increasing order, or none
bool Quadratic(double A, double B, double C, double R[2])
{
    if (A == 0)
    {
        // Linear, impossible or degenerate, cannot find two roots
        return false;
    }
 
    // Truly quadratic, reduce the coefficients and discuss
    A= 1 / A;
    B*= 0.5 * A;
    C*= A;
    double D= B * B - C;
    if (D < 0)
    {
        // No real root
        return false;
    }
 
    // Compute and sort the root(s), avoiding cancellation and division by zero
    double Q= - B + (B > 0 ? - sqrt(D) : + sqrt(D));
    R[0]= Q > 0 ? C / Q : Q;
    R[1]= Q < 0 ? C / Q : Q;
 
    return true;
}

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This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)

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About the Author

YvesDaoust
CEO VISION fOr VISION
Belgium Belgium
I fell into applied algorithmics at the age of 16 or so. This eventually brought me to develop machine vision software as a professional. This is Dreamland for algorithm lovers.

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