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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#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>
#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'
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Case 1: Wrong output
Case 2: 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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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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