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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We will continue this question in few days
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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>
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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>
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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'
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
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
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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Case 3: Correct output
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Case 0: Correct output
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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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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