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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#include <stdio.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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#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'
commented by (4.3k points)
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Case 0: Correct output
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
Case 1: Correct output
Case 2: Wrong output
Case 3: 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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