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>
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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>
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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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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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