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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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>
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#include <stdio.h>
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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
Case 3: Correct output
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Case 1: Correct output
Case 2: Wrong output
Case 3: 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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