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>
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#include <stdio.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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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 <stdio.h>
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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)
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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 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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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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