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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#include <stdio.h>
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#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>
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}
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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 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 1: 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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