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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We will continue this question in few days
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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>
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#include <stdio.h>
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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>
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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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Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
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Case 3: Correct output
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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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