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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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
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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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