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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#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
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Case 1: Correct output
Case 2: Wrong 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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