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>
#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>
int main()
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#include <stdio.h>
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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
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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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Case 1: 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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