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>
#include <stdlib.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'
commented by (4.3k points)
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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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Case 0: Correct output
Case 1: Correct output
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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 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
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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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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