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

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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)
{
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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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