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: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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#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
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Hidden content!
#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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Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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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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