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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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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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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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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