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>
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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 1: Correct output
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commented by (4.3k points)
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 1: 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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