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:

ax^{2}+ 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.

Addition of two number program in C.

#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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