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
[Exercise] Coding (C) - asked in Chapter 5: Selection Statements by (5.2k points)
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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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Hidden content!
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Hidden content!
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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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Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
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}
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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)
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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)
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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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