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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#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>
int main()
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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#include *  * **   * 
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int main()

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}
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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'
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
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct 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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Case 1: 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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