10-26 Exercise 3: Find roots of a quadratic equation

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Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i
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Everything is fixed. Enjoy your time with The Judge :)
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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
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Your code has newline at the end sometime. You learned this lesson many times!
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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.
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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge
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#include <stdio.h>
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#include <stdio.h>
#include <stdlib.h>

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prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
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prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
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prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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#include **  *  ** *** 
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int main()

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#include  *  *     * *
#include    * *  *   **
int main(void)
{
float a,b,c, D, x1, x2,i;
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prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
commented by (4.3k points)
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Case 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Hidden content!
#include    *   *  **  **
#include   * * *   * * 

int main()
{
*     **      * ** * ***** **  a, b, c, *  * ** *  x1,x2, realPart, *** * * 


*      **  * **** ** *  ** ***    %lf  * **    *** ** * &b, &c);


**** **** ***  *    * * *****  = b*b-4*a*c;

  *** * *  *    *  * *   condition for real and different roots


* ****   *    *****   **    *  *    ** for real and equal roots
     ***** *** **  **    *  * *  ** * (determinant == 0)
* * *  * * *   **  * **
   * * **   ******* ** *  *  ** ** *  ***  *  **   * ** = x2 = -b/(2*a);
** *** *    ** * *   **  ***  *   ** *  *   * ** * ** * *** *** *   of %.2fx^2 + %.2fx + %.2f = 0 are real and *****  a,b,c);
   ***** *     *** *** *   *** ** *   * * *  *  ** *  ** * *    = x2 =  * ***** * x1);
*   * *  * **  ****         

**     ** *  *     *  * *   * *  **** if (determinant > 0)
* *  * * *** ***     * * *** 
  **   * *  **  *    *    * sqrt() function returns square root
 *  ** **   **   *   * *    **        ** *       * *** = ** ** *     ** **
* **    **    * ******* *  **  **  **     *    **** = ***   *   *** * * *

 *** **   *** ** * *   *   *   ** ** * ** *  *    ** *   ****        of %.2fx^2 + %.2fx + %.2f = 0 are real and **  ** *** * * **   
*** *       ****   ******* *  *  ** * ***   *    **  * * *    **   **  =  *** *      x1);
   ********  **   * *   * *  * *   ** **   *****   *      *     * = * **     ** x2);
 *  ** * *   ***    ***    if roots are not real
 *** ***  ***  * ** *     * ** 
 * **     ****      *** * * **
      * *    ****** ****   **   **** *** ** * **  *   *** **  = -b/(2*a);
*** ** * ****    ** *   ********** ** **  * *  **** *  **   * =   ** *** *  * ** 
** ** *** **** *  ***      * *   *  ** ***  *** **    **  *  *  * ** **** of %.2fx^2 + %.2fx + %.2f = 0 are complex and * * ****** *      a,b,c);
  *   *  ** *  *** **   *  *  ** ***   ** *  *  ** ****  *    ****** = *  *   *  * *   realPart,    *    
** *   ** *   *  * **   * *  ***     *      * * * ** **** ** * ** *   ***   =      **     *  ** realPart,         
* *  * * * ***** * ***     ** 

** *  *         * *       **  ***  0;
}
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