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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Hidden content!
#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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}
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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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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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