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>
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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'
commented by (4.3k points)
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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
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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
Case 2: Wrong output
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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