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