Write a C program to find the roots of a Quadratic equation.

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.

start
	step1: Read a,b,c
	step2: discriminant := b2 - 4*a*c
	step3: if discriminant > 0 then
	step4:	root1 := (-b + √(discriminant)) / (2 * a);
	step5:	root2 := (-b - √(discriminant)) / (2 * a);
	step6:   Print root1, root2
	step7: else if discriminant = 0 then
	step8:   root = -b / (2 * a);
	step9:   print root
	step10: else
	step11:	  realPart := -b / (2 * a);
	step12:    imagPart = √(discriminant) / (2 * a);
	step13:	  Print realPart+imagPart"i" and realPart-imagPart"i"
stop

//to find the roots of a Quadratic equation

#include <stdio.h>
#include <math.h>

int main() {
    float a, b, c, discriminant, realPart, imagPart;

    // Input coefficients a, b, and c
    printf("Enter coefficients a, b and c: ");
    scanf("%f %f %f", &a, &b, &c);

    // Calculate the discriminant
    discriminant = b * b - 4 * a * c;

    if (discriminant > 0) {
        // Two real roots
        float root1 = (-b + sqrt(discriminant)) / (2 * a);
        float root2 = (-b - sqrt(discriminant)) / (2 * a);
        printf("root1 = %.2f and root2 = %.2f\n", root1, root2);
    }
    else if (discriminant == 0) {
        // One real root (both roots are the same)
        float root = -b / (2 * a);
        printf("root1 = root2 = %.2f\n", root);
    }
    else {
        // Complex roots
        realPart = -b / (2 * a);
        imagPart = sqrt(-discriminant) / (2 * a);
        printf("root1 = %.2f+%.2fi and root2 = %.2f-%.2fi\n", realPart, imagPart, realPart, imagPart);
    }

    return 0;
}

Enter coefficients a, b and c: 1 -2 1
root1 = root2 = 1.00

Enter coefficients a, b and c: 1 7 12
root1 = -3.00 and root2 = -4.00

Enter coefficients a, b and c: 5 3 2
root1 = -0.30+0.56i and root2 = -0.30-0.56i

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