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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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>
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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 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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Case 1: Correct output
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Case 0: Correct output
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Case 0: Correct output
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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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