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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56 Answers

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Hidden content!
#include <stdio.h>
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Hidden content!
#include <stdio.h>
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Hidden content!
#include <stdio.h>
#include <stdlib.h>

int main()

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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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Hidden content!
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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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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int main()

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}
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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
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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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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