How To Find Discriminant Of Quadratic Equation

C Programme to Notice the Roots of a Quadratic Equation

In this case, y'all will learn to find the roots of a quadratic equation in C programming.

To sympathize this example, yous should take the noesis of the following C programming topics:

• C Programming Operators
• C if...else Argument

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The standard form of a quadratic equation is:

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

The term bii; - 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 dissimilar.
• If the discriminant is equal to 0, the roots are real and equal.
• If the discriminant is less than 0, the roots are circuitous and different.

Figure: Roots of a Quadratic Equation

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Plan to Find Roots of a Quadratic Equation

            #include <math.h> #include <stdio.h> int master() {     double a, b, c, discriminant, root1, root2, realPart, imagPart;     printf("Enter coefficients a, b and c: ");     scanf("%lf %lf %lf", &a, &b, &c);      discriminant = b * b - 4 * a * c;      // condition for existent and different roots     if (discriminant > 0) {         root1 = (-b + sqrt(discriminant)) / (two * a);         root2 = (-b - sqrt(discriminant)) / (2 * a);         printf("root1 = %.2lf and root2 = %.2lf", root1, root2);     }      // condition for existent and equal roots     else if (discriminant == 0) {         root1 = root2 = -b / (ii * a);         printf("root1 = root2 = %.2lf;", root1);     }      // if roots are not real     else {         realPart = -b / (ii * a);         imagPart = sqrt(-discriminant) / (two * a);         printf("root1 = %.2lf+%.2lfi and root2 = %.2f-%.2fi", realPart, imagPart, realPart, imagPart);     }      render 0; }                      

Output

            Enter coefficients a, b and c: 2.3 iv 5.6 root1 = -0.87+1.30i and root2 = -0.87-i.30i                      

In this program, the sqrt() library role is used to find the foursquare root of a number. To larn more, visit: sqrt() role.

Source: https://www.programiz.com/c-programming/examples/quadratic-roots

Posted by: gillespieextesed.blogspot.com

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