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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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'
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
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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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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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