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>
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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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#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
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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