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>
#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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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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#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'
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 1: Correct output
Case 2: Wrong output
Case 3: 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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