Algebraik va transtsendent tenglamalar yechimlarini taqribiy usullar bilan topish

Algebraik va transtsendent tenglamalar yechimlarini taqribiy usullar bilan topish.

Variant 1;
Yechim joylashgan [a; b] oraliqni aniqlang vaoraliqni ikkiga bo’lish, vatarlar va urinmalar usuli bilan toping. E=0.001.
2x³ -2x-1=0
using System;
using static System.Math;
namespace Labaratoriya1AL
{
internal class Program
{
static double f(double x)
{
return 2*(Pow(x, 3)) - (2 * x) - 1;
}
static double f1(double x)
{
return (6 * Pow(x, 2)) - 1;
}
static double f2(double x)
{
return 12 * x;
}
static void Main(string[] args)
{
Console.WriteLine("f(x) =2*x^3 - 2*x - 1 = 0
funksiya [a; b] oraliqda berilgan");
double a, b, X1, Xn, E = 0.001;
Console.Write("a = ");
a = int.Parse(Console.ReadLine());
Console.Write("b = ");
b = int.Parse(Console.ReadLine());

if ((f1(a) < 0 && f2(a) < 0) || (f1(a) > 0 && f2(a) < 0))

{
Xn = b;
do
{
X1 = Xn - ((f(a) * (Xn - a)) / (f(Xn) - f(a)));
} while (Math.Abs(X1 - Xn) < E);

}

else
{
Xn = a;
do
{
X1 = Xn - ((f(Xn) * (b - Xn)) / (f(b) - f(a)));
} while (Math.Abs(X1 - Xn) < E);
}
Console.WriteLine("Resault: " + Math.Round(X1, 2));
}
}
}
a va b oraliqda mos ravishda 2 va 5 son qiymat berganda natija:
Resault: 1.84









-- ishlanishi

3x+cosx+1=0

using System;
using static System.Math;

namespace Labaratoriya1AL1b

{
internal class Program
{
public const double e = 2.7182;
static double f(double x)
{
return (3 * x) – cos(x+1)+1;
}
static double f1(double x)
{
return 3 - cos(x+1);
}
static double f2(double x)
{
return cos(x+1);
}
static void Main(string[] args)
{
double a, b, Xn, X1, E = 0.001;
Console.WriteLine("f(x) = 3x – cos(x+1) funksiya [a; b] oraliqlari");
Console.Write("a = ");
a = int.Parse(Console.ReadLine());
Console.Write("b = ");
b = int.Parse(Console.ReadLine());

if((f1(a) < 0 && f2(a) < 0) || (f1(a) > 0 && f2(a) < 0))

{
Xn = b;
do
{
X1 = Xn - ((f(a) * (Xn - a)) / (f(Xn) - f(a)));
} while (Math.Abs(X1 - Xn) < E);
}
else
{
Xn = a;
X1 = Xn - ((f(Xn) * (b - Xn)) / (f(b) - f(a)));
}
Console.WriteLine("Natija: " + Math.Round(X1, 3));
}
}
}

[a; b] oraliqning son qiymatlariga mos ravishda 3 va 7 berilganda
Natija: 2.97;