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>
#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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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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Hidden content!
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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>
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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
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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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