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>

int main()

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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
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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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