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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Hidden content!
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#include <stdio.h>
#include <stdlib.h>

int main()

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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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Hidden content!
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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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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
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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