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>
#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>
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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
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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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