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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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'
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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Case 1: Correct output
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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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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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