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>
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#include <stdio.h>
#include <stdlib.h>

int main()

{
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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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}
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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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}
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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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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Hidden content!
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int main()

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}
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#include  **   *     ***  
#include   * * *   * **
int main(void)
{
float a,b,c, D, x1, x2,i;
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}
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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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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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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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