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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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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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'
commented by (4.3k points)
0 0
Case 0: Correct output
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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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
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commented by (4.3k points)
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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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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