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>

int main()

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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>
#include <math.h>

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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)
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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
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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
Case 2: Wrong output
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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