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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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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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'
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Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
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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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