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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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>
#include <stdlib.h>
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}
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#include  * * *     *  *
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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
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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 0: Correct output
Case 1: Correct output
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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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