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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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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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
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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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