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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#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>
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#include <stdio.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 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 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
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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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