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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We will continue this question in few days
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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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#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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Hidden content!
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}
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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 **   **      **
#include   * * ** *   ** **
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)
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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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Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
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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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