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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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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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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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 1: Wrong output
Case 2: Wrong output
Case 3: Wrong 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 2: Wrong output
Case 3: Correct output
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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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Case 3: Correct output
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