How to create a Bisection Method Scheme of any power in C#

 
BISECTION METHOD USING C#

Here's the Code

using System;

namespace BisectionMethod

{

    class Program

    {

        static void Main(string[] args)

        {  string retry = "";

            do{ try

                {  float y1 = 0, y2 = 0;

                    //collect inputs

                    Console.Write("\n1st Interval: ");

                    float x1 = float.Parse(Console.ReadLine());

                    Console.Write("2nd Interval: ");

                    float x2 = float.Parse(Console.ReadLine());

                    float x0 = 0, y0 = 0;

                    Console.Write("Highest power in equation: ");

                    int pwr = int.Parse(Console.ReadLine());

                    //store in an array

                    int[] coe = new int[pwr + 1];

                    //calculate values of y1 and y2 using for loop

                for (int i = 0; i < coe.Length; i++)

             { if (i == 0) { Console.Write("Value of constant: "); }

          else{Console.Write("Coefficient of variable with power {0}: ", i);}

                        coe[i] = int.Parse(Console.ReadLine());

                        y1 += (float)(coe[i] * Math.Pow(x1, i));

                        y2 += (float)(coe[i] * Math.Pow(x2, i));

                    } //determine negative

                    if ((y1 * y2) < 0)

                    {Console.WriteLine("There is a root between intervals");

                        while (true)

                        {//midpoint (x0)

                            x0 = (x1 + x2) / 2;

                            for (int i = 0; i < coe.Length; i++)

                            { y0 += (float)(coe[i] * Math.Pow(x0, i)); }

                            if (y0 * y1 < 0)//check for -ve product

                            { x2 = x0; }

                            else{ x1 = x0;}

                            //approximate y to 6 decimal places

                            y0 = (float)Math.Round(y0, 6);

                            //if y0=0 therefore root is x0

       if (y0 == 0) { Console.WriteLine("\n The Root is {0}", x0); break; }

                           y0 = 0;

//reset y0 back to zero in order to avoid accumulation of result

                } }

               else{ Console.WriteLine("There is NO root between intervals"); }

                }

                catch { Console.WriteLine("\a\a\a Error \nInvalid Input"); }

      Console.Write("\nDo you wish to try again, type \"Yes\" or otherwise to quit: ");

     retry = Console.ReadLine().ToUpper();

            } while (retry == "YES");

}

}

}

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Happy Programming!!!