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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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>
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#include <stdio.h>
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#include <math.h>

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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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Case 0: Correct output
Case 1: 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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