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>
#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   ** * *  * 
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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'
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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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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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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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