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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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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#include **   *     *
#include ***** ** ** * 
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 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 1: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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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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Case 0: Correct output
Case 1: 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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