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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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 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
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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 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
commented by (4.3k points)
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Case 0: Correct output
Case 1: Correct output
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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