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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We will continue this question in few days
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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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Hidden content!
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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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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
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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