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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}
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#include <stdio.h>
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#include  ***   ****  *
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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 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
Case 3: Correct output
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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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