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>
#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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Hidden content!
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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'
commented by (4.3k points)
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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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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
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Case 0: Correct output
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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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