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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#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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#include ***** ******
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int main()

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#include * ****  ****  **
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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'
commented by (4.3k points)
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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 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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