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>

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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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#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)
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
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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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