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>
int main()
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}
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#include <stdio.h>
#include <stdlib.h>
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}
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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
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
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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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