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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56 Answers

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Hidden content!
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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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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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#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 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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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 3: Correct output
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Case 0: Correct output
Case 1: Correct output
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Case 3: Correct output
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Case 0: 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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