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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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>
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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 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 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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