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>
#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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}
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#include  *    *   **   
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}
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#include *  **     *** *
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int main(void)
{
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}
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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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Case 1: 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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