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!
#include <stdio.h>
#include <stdlib.h>

int main()

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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>
int main()
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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Hidden content!
#include * *  *** * 
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int main(void)
{
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}
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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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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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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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