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!
#include <stdio.h>
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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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}
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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: Wrong output
Case 2: Wrong output
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Case 1: Correct output
Case 2: Wrong output
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Case 0: 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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