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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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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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>
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#include  ** * ** *** * 
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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 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
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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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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