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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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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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>
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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
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 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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