# Quadratic Equation program in C

In this article, you will learn to find the roots of a quadratic equation in C Language.

The standard form of a quadratic equation is:

```ax2 + bx + c = 0,
where a, b and c are real numbers```

The term b2-4ac is known as the discriminant of a quadratic equation. It tells the nature of the roots.

• If the discriminant is greater than 0, the roots are real and different.
• If the discriminant is equal to 0, the roots are real and equal.
• If the discriminant is less than 0, the roots are complex and different.
```#include <stdio.h>

#include <math.h>

int main()

{

double a, b, c, discriminant, root1, root2, realPart, imgPart;

printf("Enter coefficient a: ");

scanf("%lf",&a);

printf("Enter coefficient b: ");

scanf("%lf",&b);

printf("Enter coefficient c: ");

scanf("%lf",&c);

discriminant = b * b - 4*a*c;

//Condition for real and equal roots

if(discriminant == 0)

{

root1 = root2 = -b / (2 * a);

printf("\nFor the coefficients a = %.2lf, b = %.2lf and c = %.2lf \n\nroot1 = root2 = %.2lf", a, b, c, root1 );

}

//Condition for real and different roots

else if(discriminant > 0)

{

//sqrt function returns square root

root1 = (-b + sqrt(discriminant)) / (2 * a);

root2 = (-b - sqrt(discriminant)) / (2 * a);

printf("\nFor the coefficients a = %.2lf, b = %.2lf and c = %.2lf \n\nroot1 = %.2lf and root2 = %.2lf", a, b, c, root1, root2);

}

//Condition for if roots are not real

else

{

realPart = -b / (2 * a);

imgPart = sqrt(-discriminant) / (2 * a);

printf("\nFor the coefficients a = %.2lf, b = %.2lf and c = %.2lf \n\nroot1 = %.2lf + %.2lfi and root2 = %.2lf - %.2lfi", a, b, c, realPart, imgPart, realPart, imgPart);

}

return 0;

}

```

Output:

Enter coefficient a: 1

Enter coefficient b: 4

Enter coefficient c: 4

For the coefficients a = 1, b = 2 and c = 3

root1 = root2 = -2.00

In this program, the sqrt() library function is used to find the square root of a number.

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## Conclusion:

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Categories C