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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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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#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
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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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