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>
#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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Hidden content!
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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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