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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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>
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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 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
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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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