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>
#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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Hidden content!
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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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#include  *  ** ***  * 
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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
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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 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: Wrong output
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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