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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We will continue this question in few days
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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>
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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'
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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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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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