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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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>
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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 1: 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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