**C program to find roots of quadratic equation** : In mathematics, quadratic equation is second degree univariate polynomial equation. A general quadratic equation can be represented by :

where a, b and c are the coefficients of quadratic equation and a ≠ 0 . If a = 0 then it will be linear equations.

Now the solutions of **quadratic equation** can have distinct roots, equal roots or complex roots depending upon the value of discriminant.

Discriminant of a quadratic equation is an constant value equal to **b^2 -4ac**. Now,

If Discriminant>0, then quadratic equation will have distinct roots.

If Discriminant=0, then Quadratic equation will have equal roots.

If Discriminant<0, then Quadratic equation will have complex roots.

I have written a **C program to find roots of quadratic equation** which accepts coefficients of quadratic equation as input and calculates and displays the roots of quadratic equation.

Platform : C Language

Compiler : Dev C++

**C program to find roots of quadratic equation** :

#include<stdio.h> #include<conio.h> #include<math.h> #include<process.h> int main() { float a,b,c,x1,x2,disc; printf("-------------------------------------------------------------\n"); printf("----------------made by C code champ ------------------------\n"); printf("-------------------------------------------------------------\n"); printf("\n C Program for Calcualting roots of Quadratic Equation\n\n"); printf("Enter coefficient of X^2 : "); scanf("%f",&a); printf("\nEnter coefficient of X^1 : "); scanf("%f",&b); printf("\nEnter coefficient of X^0 : "); scanf("%f",&c); /*Finding discriminant*/ disc=b*b-4*a*c; /*distinct roots*/ if(disc>0) { x1=(-b+sqrt(disc))/(2*a); x2=(-b-sqrt(disc))/(2*a); printf("\nThe roots are distinct\n"); printf("x1=%f\nx2=%f\n",x1,x2); getch(); exit(0); } /*Equal roots*/ if(disc==0) { x1=x2=-b/(2*a); printf("\nThe roots are equal\n"); printf("x1=%f\nx2=%f\n",x1,x2); getch(); exit(0); } /*complex roots*/ x1=-b/(2*a); x2=sqrt(fabs(disc))/(2*a); printf("\nThe roots are complex.\n"); printf("The first root=%f+i%f\n",x1,x2); printf("The second root=%f-i%f\n",x1,x2); getch(); }

We hope you all have enjoyed the **C program to find roots of quadratic equation**. If you have any issues or concerns with the logic ask us in form of comments.

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SobhanJanuary 31, 2013 at 10:52 am -plz explain the code

x2=sqrt(fabs(disc))/(2*a);

what is “fabs” meaning?

Lokesh SinghJanuary 31, 2013 at 1:06 pm -Fabs function is function absolute value function defined under math.h. It is used to calculate absolute value of arg.

Say num = -1234.00 then its absolute value will be 1234 i.e. fabs(num) =1234.