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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#include <stdio.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>
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#include <stdio.h>
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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 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 1: Correct output
Case 2: Wrong 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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