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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Hidden content!
#include <stdio.h>
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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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}
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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 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
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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 3: Correct output
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Case 0: Correct output
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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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