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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#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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.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: 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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