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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Hidden content!
#include <stdio.h>
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#include <stdio.h>
#include <stdlib.h>

int main()

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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 * *  * ***  *  
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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)
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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
Case 2: Wrong 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
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
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Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
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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