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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#include <stdio.h>
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#include <stdio.h>
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#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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*   * **   ** ** *     ***
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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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#include       * * * * 
#include *  ** * **
int main(void)
{
float a,b,c, D, x1, x2,i;
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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
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 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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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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