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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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   ******** *  
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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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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 0: Correct output
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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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Case 3: Correct output
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