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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Hidden content!
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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>
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#include <stdio.h>
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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'
commented by (4.3k points)
0 0
Case 0: Correct output
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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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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