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>

int main()

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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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}
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#include <stdio.h>
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#include **    *     ** 
#include   *    *  * * 
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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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 1: Correct output
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Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
commented by (4.3k points)
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Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: 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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