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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Hidden content!
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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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}
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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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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 1: Correct output
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Case 3: Correct output
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Case 0: 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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