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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Hidden content!
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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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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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#include <stdio.h>
#include <stdlib.h>
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#include  ** *   *     * *  
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int main(void)
{
float a,b,c, D, x1, x2,i;
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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 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
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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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