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