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1. C Program To Find Discriminant Of Quadratic Equation
2. C Program To Find Roots Of Quadratic Equation Using Pointers
3. C Program To Find Quadratic Formula

• Write a C program to find roots of a quadratic equation.

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as ax² + bx + c = 0, where a, b and c are constants( a can't be 0) and x is unknown variable.

For Example

2x

The term b 2-4ac is known as the discriminant of a quadratic equation. The discriminant tells the nature of the roots. If discriminant is greater than 0, the roots are real and different. If discriminant is equal to 0, the roots are real and equal. If discriminant is less than 0, the roots are complex and different. Input coefficients of quadratic equation from user. Store it in some variable say a, b and c. Find discriminant of the given equation, using formula discriminant = (b.b) - (4.a.c). Learn - Program to find power of a number.

1. Quadratic Equation Algorithm. 1 Step: Input the coefficients of the quadratic equation from the user and store in the variables a,b and c. 2 Step: Now find the Discriminant of the equation by using formula Discriminant= (b.b)- (4.a.c). 3 Step: Now compute their roots based on the nature of Discriminants.
2. C if.else Statement The standard form of a quadratic equation is: ax 2 + bx + c = 0, where a, b and c are real numbers and a!= 0 The term b 2 -4ac is known as the discriminant of a quadratic equation.

² + 5x + 3 = 0 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.
x = (-2a + sqrt(D))/2
x = (-2a - sqrt(D))/2
where, D is Discriminant, which differentiate the nature of the roots of quadratic equation.

Discriminant(D) value	Description
D < 0	We will get two complex roots.
D = 0	We will get two equal roots.
D > 0	We will get two real numbers.

C program to find all roots of a quadratic equation

Program Output
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I have given here a C# program to solve any Quadratic Equation. Quadratic equation is a second order of polynomial equation in a single variable.
x = [ -b +/- sqrt(b^2 - 4ac) ] / 2a

We have to find the value of (b*b - 4*a*c).

1. When it is greater than Zero, we will get two Real Solutions.
2. When it is equal to zero, we will get one Real Solution.
3. When it is less than Zero, we will get two Imaginary Solutions.

When there is an imaginary solutions, we have to use the factor i to represent imaginary part as it is a complex number.

Source Code

using System;

using System.Collections.Generic;

using System.Text;

namespace SoftwareAndFinance

{

classMath

{

// quadratic equation is a second order of polynomial equation in a single variable

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

publicstaticvoid SolveQuadratic(double a, double b, double c)

{

double sqrtpart = b * b - 4 * a * c;

double x, x1, x2, img;

if (sqrtpart > 0)

{

x1 = (-b + System.Math.Sqrt(sqrtpart)) / (2 * a);

x2 = (-b - System.Math.Sqrt(sqrtpart)) / (2 * a);

Console.WriteLine('Two Real Solutions: {0,8:f4} or {1,8:f4}', x1, x2);

}

elseif (sqrtpart < 0)

{

sqrtpart = -sqrtpart;

x = -b / (2 * a);

img = System.Math.Sqrt(sqrtpart) / (2 * a);

Console.WriteLine('Two Imaginary Solutions: {0,8:f4} + {1,8:f4} i or {2,8:f4} + {3,8:f4} i', x, img, x, img);

}

else

{

x = (-b + System.Math.Sqrt(sqrtpart)) / (2 * a);

Console.WriteLine('One Real Solution: {0,8:f4}', x);

}

}

staticvoid Main(string[] args)

{

// 6x^2 + 11x - 35 = 0

SolveQuadratic(6, 11, -35);

// 5x^2 + 6x + 1 = 0

SolveQuadratic(5, 6, 1);

// 2x^2 + 4x + 2 = 0

SolveQuadratic(2, 4, 2);

// 5x^2 + 2x + 1 = 0

SolveQuadratic(5, 2, 1);

}

}

}

Output

Two Real Solutions: 1.6667 or -3.5000

Two Real Solutions: -0.2000 or -1.0000

C Program To Find Discriminant Of Quadratic Equation

One Real Solution: -1.0000

Two Imaginary Solutions: -0.2000 + 0.4000 i or -0.2000 + 0.4000 i

Press any key to continue . . .

C Program To Find Roots Of Quadratic Equation Using Pointers

C Program To Find Quadratic Formula