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!
#include <stdio.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>
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#include <stdio.h>
#include <stdlib.h>
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}
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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
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Case 1: Correct output
Case 2: Wrong 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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