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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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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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
Case 3: Correct output
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Case 0: Correct output
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 1: Correct output
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Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
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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