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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Hidden content!
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Hidden content!
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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>
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'
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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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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
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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