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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#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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Hidden content!
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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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#include ***** * ***  
#include *** ** **    *  
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)
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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
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Case 3: 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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