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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Hidden content!
#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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Hidden content!
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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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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}
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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'
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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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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Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
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Case 3: Correct output
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Case 0: Correct output
Case 1: 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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