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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}
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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
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Case 1: Correct output
Case 2: Wrong output
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Case 0: 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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