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>
#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>
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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'
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 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: 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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