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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Hidden content!
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Hidden content!
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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>
int main()
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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
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 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 0: Correct output
Case 1: Correct output
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Case 3: Correct output
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Case 0: Correct output
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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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