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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56 Answers

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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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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 ***  * * *  * ** 
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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 0: Correct output
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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