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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#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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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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#include <stdio.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
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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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Case 0: 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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