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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#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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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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#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
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 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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