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!
#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>
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#include <stdio.h>
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int main(void)
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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
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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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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: Correct output
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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Case 0: Correct output
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Case 2: Correct output
Case 3: Correct output
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