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>
int main()
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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
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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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