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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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>
#include <stdlib.h>
#include <math.h>

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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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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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