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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Hidden content!
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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>
#include <stdlib.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'
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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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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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