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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56 Answers

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#include <stdio.h>
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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>
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#include <stdio.h>
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}
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#include * *   * *** 
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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
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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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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