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>
#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>
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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 1: 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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