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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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>
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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 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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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
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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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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