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