Solve in C# the Quadratic Formula

Question

solutions by The Quadratic Formula:

// For ax2 + bx + c = 0, the values of x which are the

// solutions of the equation are given by:

// x = (-b -/+ sqrt((b^2-4ac)))/2a

Answer 1

c = equations[loop].Coefficients;

double temp0 = (4 * c[0] * c[2]);

double temp1 = c[1] * c[1];

double temp2 = temp1 - temp0;

double temp3 = 0;

double temp4 = 0;

double temp5 = 0;

double temp6 = 0;

double temp7 = 0;

double temp8 = 0;

imaginaryValue = false;

if (temp2 > 0)

{

temp3 = (2 * c[0]);

temp4 = Math.Sqrt(temp2);

temp5 = -c[1];

x[0] = ((temp5 + temp4) / temp3);

}

else if (temp2 == 0)

{

temp3 = (2 * c[0]);

temp4 = 0;

temp5 = -c[1];

x[0] = ((temp5 + temp4) / temp3);

}

else

{

temp3 = (2 * c[0]);

temp4 = Math.Sqrt(Math.Abs(temp2));

temp5 = -c[1];

x[0] = ((temp5) / temp3);

imaginaryValue = true;

}

Console.WriteLine("x = (-b -/+ sqrt((b^2-4ac)))/2a");

Console.WriteLine("4ac = " + temp0);

Console.WriteLine("b^2 = " + temp1);

Console.WriteLine("b^2 - 4ac = " + temp2);

Console.WriteLine("2a = " + temp3);

Console.WriteLine("sqrt(b^2-4ac) = " + temp4);

Console.WriteLine("-b = " + temp5);

Console.WriteLine("(-b + sqrt((b^2-4ac))/2a = " + x[0]);

temp6 = c[0] * x[0] * x[0];

temp7 = c[1] * x[0];

temp8 = c[2];

Console.WriteLine("ax^2 = " + temp6);

Console.WriteLine("bx = " + temp7);

Console.WriteLine("c = " + temp8);

y[0] = temp6 + temp7 + temp8;

if (imaginaryValue)

{

Console.WriteLine("y = " + y[0]);

Console.WriteLine("Found: [" + x[0] + "+i, " + y[0] + "]");

}

else

{

Console.WriteLine("y = " + y[0]);

Console.WriteLine("Found: [" + x[0] + ", " + y[0] + "]");

}