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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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>
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#include ** *    *****  * *
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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
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Case 1: Correct output
Case 2: Wrong output
Case 3: 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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Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
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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