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>
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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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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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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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
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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