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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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>
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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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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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