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>
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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
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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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