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!
#include <stdio.h>
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Hidden content!
#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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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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int main()

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#include *   *** **  *     *
#include   **    ** *
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'
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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 1: 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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