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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#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>
#include <stdlib.h>
#include <math.h>

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int main()

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}
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#include    **  * **
#include   *     * ***    *  
int main(void)
{
float a,b,c, D, x1, x2,i;
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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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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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