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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#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'
commented by (4.3k points)
0 0
Case 0: Correct output
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 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
commented by (4.3k points)
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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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