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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Hidden content!
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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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Hidden content!
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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>
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#include *****   *** * *
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int main(void)
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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'
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Case 1: Wrong output
Case 2: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct 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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