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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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>
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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
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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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