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

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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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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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Case 1: Correct output
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Case 3: Correct output
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Case 0: Correct output
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Case 3: Correct output
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Case 0: Correct output
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Case 3: Correct output
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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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