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>
#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>
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#include <stdio.h>
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}
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}
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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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commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 1: Correct output
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Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
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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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Case 3: Correct output
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