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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#include <stdio.h>
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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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Hidden content!
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}
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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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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#include  *** *   *** *  
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int main()

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}
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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
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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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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