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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{
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prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1 = (-b + sqrt(D))/(2*a);
                ^~~~
prog.c:9:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:9:16: note: include '<math.h>' or provide a declaration of 'sqrt'
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Hidden content!
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}
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Hidden content!
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}
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#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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}
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#include<stdlib.h>
#include<math.h>

int main(void)
{
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}
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prog.c: In function 'main':
prog.c:8:11: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     while(scanf("%lf %lf %lf", &a, &b ,&c)==3)
           ^~~~~
prog.c:8:11: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:8:11: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:18:17: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
                 ^~~~~~
prog.c:18:17: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:18:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:21:17: warning: incompatible implicit declaration of built-in function 'printf'
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
                 ^~~~~~
prog.c:21:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:29:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:29:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:34:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:34:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:41:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
             ^~~~~~
prog.c:41:13: note: include '<stdio.h>' or provide a declaration of 'printf'
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#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
   * *  *  * * *  * *     *** a, b, c, D, spD, x1, x2;
    
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    {
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 **** *   * ** ** **  **** *  ** *  ** **   ***       ** *
***   ** * *   ** *      * **** *   *  **  **  ***  ** **
  **** ***** *** ** * **  ***   **         ***  *  * * 
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 **   * ****** ** ** * ***  *  * *   ***  ****   * ***    *** * *     * **  *  **** * (-b-spD)/(2*a);
* ***  *  ******  **    * * ** *  ******* * *  **    * *       *   * *  *     * **   (x1==x2){
*    *   *** *  * *** * *  * * * ** **** ** ****   *     **  * ** ***** * **** **  *** * * * *   *  ****** *** ** *** *          of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
*  * *** ** *** ***     *     ****   * *** * *** *******   ***   *  **   
* * ***** *   *    * * ***    ** * ******     * * ***          * *        {
 ** ***   ***     *  * **    **  **  **  *******   * *  *  **** ** ** * *  ** * **** *** ***  *** ** ** **   *  * *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
*  *** * * **     ** ************* *******  **   * *    ** * **  * *  *  *** ***** *     
** **  *  * * **** * *  *   *  * *** * *   *  * **  *    **
*     *   * *    ** **   * * *** *   *   * **** *****    if(D==0)
****   ****     *  * ****** * **    **     *  **  * *  ***** *  * 
     *  **   *    ***  *   * * ** * ***  *** *** *  *      * * ***   * *  * * (-b)/(2*a);
*  * *  *   **   *     ***  ** **** * * ****     *  *  **  *   **  * ** *   *   * ***
****     *  **** **  ****      *****   **** **  * *     ** **   * ***   ***
   *** *  *      ****     ***  *    * ** **  * ****    *      *    ** *** *    *  * * *   *  *   * ***  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
* **   ***    *    ***  * *   ** **  *  *  *** **** ** *  ** * **** **   **    * 
* **  **** *** ***** **     ****** * ***** *   *  *     * * * *** * * * **  * *  *
     * *    ******   *  *** *****   *   ** *** *** **    **  ****   *    *  ***    *
    *****  *  ****     ********* ** ***** *****    * ******  *******   *  ***  ***
*   ** ****** *  *** *    ** * *** **  * **  ******   * * ***   * * *  ***  *  *    *** ** ****   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
* **** **** ****  * *  *****  ***     **** *        ** *  *  *  *  *        * *** *  **
*  **   * *  * *****  **    * * *  *   ** ** **
 * ******  **  * *** **      *** ***    * ****** * * if(D<0)
* ***   * ***      * *   *   ** ** ** * *** ** ***  *         
 * ** *  ** ***  * *     *  *  * *   *       **** ** *** *   *******  *   **    ***** *    (-b)/(2*a);
*** * ** *  *  ** *     * **** **  * **   * ***  *  ****   *   ******   ** * -x1;
 * *  * **  *****  * *** ****      *  * *  **   ***  *     *  ***  * ***   ** **  *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
 **** *  ******     ***** ******* * *** **  * ****
******** * *  * **   ** * ** *  *
    
 *   **  * *     **  ** ** *   * ***  ** ** 
 *   *      *  * * **   ****     0;
}
answered by (-249 points)
0 0
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output
commented by (4.3k points)
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Hidden content!
   *       ******    
****   *****   **  *** **  
  **  ** *    * ***** *  
int    **
* * * **     **    **   **  ***   a, b, c, D, spD, x1, x2;
**  * *** *    * * * **  * ***
*** ** ***** ** *     ***   * *   **   **** %lf  **** **  *** &b **  * ***
    * **    {
*  *   * *  ** **  ****** ** **     ** * *      *  *** *    ** - (4*a*c);
*  *  **  * ** *  ***    *  *****     * * ** ** *  * 
*  ** *       *    ***
  *        {
** *  **  *    **  ***   * ** * *   * *    *  **  ***** **    * ****
 ***  * *** * * ** * * ****   * *  ** *  *  * * * *  ***   x1= **   *** 
** **   ******      *    ** *** ****  ** *******    **** * *   x2= *   *   
 **  ***      **** * *********** *  ****     *  ** * **   if (x1==x2){
*********  *  ******** *    **  *  **     * *  ***** * *  * **       **** **  * ** **  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = ****  ** ** * *  
 ***  ******  ** *****   *    *  ** ***  ** *   ****   *   ****    ** 
* ** *** ** **  *** ******* *  **  * **   * ** ****   ** *   * *   else {
**        *   *    ** ** * *** *  ******   ***    *   **  **     *** **   * * **  * * *       ** * *     *  * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and **** *   ** = %.2lf\nx2 = ****     ***  * **
  * ** *    ** **    ***  ***   *****  * ***  * ****   *****   ****  *  }
  **** *    *    *  * ***** *   *  *** * * *   *  ** * *
*** * ****   *  ** ** ** **** *      ****   ****  *  **  ***** if(D==0)
****** ***   * * **   {
**    *   *** ** *  *** *** * ***   * **** * * **    * **  **  * **** **  **  * * **      *  ** 
**** * * *   *  *    ** *****   ***  * **    *  *  **  **   *** ** ********   * ********  
  **     * * ***       {
 *    *   **   ** ******   * * **** ****  *     ** ** * * *   ** **  * **** ** ** * * * *    of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = * *  * * *** **   * 
 *** * **   *** ** *    * **  **  * * **      **** **   * **  * *      *** **** 
*** ******* *  *********  **  *  *** ** *  *   *       *** * * * *   *  ****  **
*     ******** * ** **   * **  ** * **** **  *    *    *** *    * *  ** ** * *
*   *            {
 **     *** * *   ***  *   ***   ** * * * * *      * *   ** ** ***   **  ********** *  *  ** *****  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = *  *** ** *******  
*  ** **   ****  ** *    * *  * ** ** *  *   **  *** **** * **** ** ** *** 
  ***** ***  * *** ***  * *  *** * ** *****  * **   * * 
*  *** *   **      *  **      *    * *    ****  ** **      *  ***
               *****   
            x1=   *****
 **  ***     *      *    *** ***  x2= -x1;
 * *        **  *  ** * **  **** * * * *****  * * *** **  ** *  ***   ** ***       * * *  * of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and *  **  ** =     *   **  =   * **  * *   *** **** * ** 
* * *****  ***   *    *  **** * *     **   ***** ** ** 
   * **   ***    **   *   
**  ** * * **  * *  * *  * 
    *   **  * *  *   * * ** *  *     *  **** *  * **
** *  * ** *** ******** 0;
}
answered by (-249 points)
0 0
/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output
commented by (4.3k points)
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Hidden content!
 * *****  * * ** ** 
  * * ** ***  *  
int main(){
 ****  **  * * *   ******  * * *  a,b,c;
*  * *   *       * *** * ***  ** D;
  ***** ***  *    *       *   *  * *  %lf **     *    *  *** *         **
*  ****    * **  *   *       *     * *  ** - 4*a*c ;

**  ** * * ** ** * **  *  * *  *** *** ***   of %.2fx^2 + %.2fx + %.2f = 0 * * *  ** ****

*  ** **** *   *** ***     ** *  *** *     **
        *   * **  * ***  ****    ***   ***** * * * * *  *   * ***   ** complex and *   * * ** ** ***
*** * * *    ******* *  **   ** *  * *  **    **  * *  *   *     ****   * =  * *  *   ** * * *  (-b) / (2*a) ), sqrt(-D) / (2*a) );
  ** *****  ** *** **   *** ** ** **  ** ** *  *** * **  *****  *  *  =   * *** *   * (-b) / (2*a) ), sqrt(-D) / (2*a) );
*   * ***  ***   *******      
***       ** ** *** * *    ** **   if(D==0){
** **  **      *  ** ** * * * ***   * *  ***    *   * ** * *******  * real and same\n");
** ***  ** * ****** **  ***  **  ** ** *    ** *  ** *   * ***** *** = x2 = %.2f",( (-b) / (2*a) ) );
 ***   *   * *    *   ** *  * 
 *** *  ** *** ****   ** ******* ** ***   *
     **  *  * **  **** **  ******* *** *  *     * ** * ***   *  *  ** *** real and    **  **    * **
*    ** *  * *  ** *  ***  ** ***  *   ** * * *  *  * ***    *** **        = %.2f\n",( ((-b) + sqrt(D)) / (2*a) ) );
* * *  * * ****    * ****   * ***** *****  *  **** ** * * **  = %.2f", ( ((-b) - sqrt(D)) / (2*a) ) );
*** *****   * *   * *    **

* ** ***  ** **** * * * *     ****   0;
}
answered by (-116 points)
0 0
/tmp/cc8OPUJA.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
/tmp/ccLeUfQ5.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong 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
commented by (4.3k points)
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Hidden content!
#include  *  ** *  * *
#include <math.h>
int main()
{
** **   **  *** **   *  *  **  a,b,c,x,y,d;
*  * ** *   * ** * **  **   * **       %f *  * *****  *         **  **
 ****   *** **  *   **   **** **   * 
* * *   **** * ***  *   ** *** *       *  * 
*** *  ** **     ** ** * *  ******* *  * 
** * *     *       *  ****** (d>0){
******     * *   **** **** **    ** * of %.2fx^2 + %.2fx + %.2f = 0 are real and * *** ***  *** **
  *    * **  *** *  * **   *    ** ***    = %.2f\nx2 = %.2f",x,y);
 ** *  **  ******** ** *  
*******   **   **   * * *     **   if (d==0){
*     ** ********    * ***  ***** ** *   **  of %.2fx^2 + %.2fx + %.2f = 0 are real and  *    *   *** 
**    ** * * **  ***  **   *  *** * ***   * ** = x2 = %.2f",x);
* *   *** ** ** *  *  *  ** **   
** **   **  * *     * ****   *
** *    **** ** ****    *          
****    *   * **** ** ** **     * * *   * of %.2fx^2 + %.2fx + %.2f = 0 are complex and * **      * *  ** **** 
   * ***  ***   * * *** ***   ****     **
 ***  **          **  ***     ** ***   *  = **** **  * ** * ***
*** ****  *** * * *  **  *  ** * ***** * =  * ** *  *** *   * ** 
   *  *** * *******  ** * 

     *  ** *  *   *     * 0;
}
answered by (54 points)
1 0
/tmp/ccheVQNV.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
/tmp/ccJPGNPl.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
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