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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Hidden content!
#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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}
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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>
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}
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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 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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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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