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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Hidden content!
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Hidden content!
#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(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'
commented by (4.3k points)
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Case 0: Correct output
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 0: Correct output
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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