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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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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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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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
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 0: 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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