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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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>
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#include <stdio.h>
#include <stdlib.h>
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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
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
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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