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>
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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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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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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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