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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We will continue this question in few days
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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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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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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>
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#include <stdio.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
Case 3: Wrong output
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Case 1: Correct output
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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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Case 1: Correct output
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Case 0: Correct output
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Case 2: Correct output
Case 3: Correct output
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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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Case 0: Correct output
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Case 3: Correct output
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