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