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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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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#include <stdio.h>
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Hidden content!
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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'
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Case 1: Wrong output
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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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Case 0: Correct output
Case 1: Correct output
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commented by (4.3k points)
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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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