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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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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Hidden content!
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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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#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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Case 1: Wrong output
Case 2: Wrong output
Case 3: 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 3: Correct output
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Case 0: Correct output
Case 1: Correct output
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Case 3: 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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