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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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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#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
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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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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