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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