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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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
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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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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