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

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}
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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
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
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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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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