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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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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}
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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
commented by (4.3k points)
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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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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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Case 3: Correct output
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Case 0: Correct output
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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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