10-26 Exercise 3: Find roots of a quadratic equation

Question

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

Comments

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

Answer 1

Hidden content!
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int main()
{
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}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

Answer 2

Hidden content!
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int main(void)
{
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***  *** * ** * ** * * * ****   * = (-b - sqrt(D))/(2*a);
  *  **  **     ****** **  * = -b/(2*a);
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**    **  **  * ** *   **** (D < 0)
**       *  *   * ***
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}

Comments

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'

Answer 3

Hidden content!
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# ** *    ***   ***  *
int main()
{

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*  *  **  **   * * * **    
*** ***********   **  *  ** ** *  0;

}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

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# * ******   *  *  
int main()
{

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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 5

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

int main(void)
{
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*  ***  ** ****   *** *** **    **   ***   %lf %lf", &a, &b ,&c)==3)
    {
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** ***   *** *  **  *   * *  ***   * *** ** ***   **    **  **   **  ***   (-b-spD)/(2*a);
 * ** * *** * *  *   * *   *   * *****        * *** * * *** ***   *   * *** * **** * *  (x1==x2){
*  **  *  *  ******** *    **   * ***  *    *** * * *  **  *    ****** *        ** **   *  * **    * *  * *  *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
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   * *  ** *  *  * **  * ** * * ****** ***** ******      ********    *    * *  *****   * * ***
  * * *  **  ****   *** ***** ** *      * * *      
 * ** ** **    *  * *****    *  *** ** *  * *** * ** **  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;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 6

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

int main(void)
{
*  *  **    * *** *  * * *     * a, b, c, D, spD, x1, x2;
    
**    * *** ** *** ** * * ** **  ** *** ***   * * %lf %lf", &a, &b ,&c)==3)
    {
*    *   *  * * ****** ***  **   * * *  **     * ** *  *** - (4*a*c);
  ******** **** ***   **  **   ***  **  * * * *  *** * *  *
  *** *** *  **** ** **** ** ** *    ****  *  ** ***    **  * 
 * *  *  *  **   *   **   ** * ** **  ** *  ***** * *
 **   *    * *  *  *   ** * *  **** **      * ***  * * *** *****  **     *       *  **
********  *  * * * **  ** **  *** **  *  *    ** * ** *  *  *       *** *** * * **  (-b+spD)/(2*a);
***  * **** ** *   * **** *** **    * *      * * ** *  *  * ** ** *  *  * ***  *  (-b-spD)/(2*a);
* * *   *  * *** * * *  *     * *   *  ** * *** *   ***    *  *** *   **** *  *  **   (x1==x2){
*  * *  ** ** ****     * *** *   **        **** ****** **  * *** **  *  * * *****  *      *     *  ** *  *** *   *   *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
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*   **  ***   ***    * **  * **   * *  *  * ***     *  *******    *** *  *
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*  *******      *   ***   ** *** *     ***  *   ** *  * if(D<0)
 ** *  **   * * * *  *** **  ***    *  *  *   **  *      
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* *   ***  * ** * * *    ******   **  ** ** **********  *  **  *  **   *  **  ****   -x1;
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 **   *  *  * ***** ******    **   *** * * *****  ***    
***  ******** *    **  **  
    
  **** *    ***     *     * **** **  *     *   
  * **   *** *      * * 0;
}

Comments

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'

Answer 7

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

int main(void)
{
* ********  *  **   *  **   a, b, c, D, spD, x1, x2;
    
*     **     * *   *    * **** **  * * %lf %lf", &a, &b ,&c)==3)
    {
  * **  * * * * **  **** **       *    *  **   *  *   **** - (4*a*c);
 **   ** * **  ** *** * * * ***    *    *  * ****  * *  
*****  ** **  *   ** *     ***  * * *    * *  * ***    ***** * *
***  ** * *  **  **  ** *  ** * *    * ***   *      ** *
* * * *** *  *  **   * *** * ***    ** * * *  *****  * *    *  *** ***   *  *** **   
 ****  *  *** ** **  **  **** *****     *  **  **** *  * **    ** *** *** ****      * * (-b+spD)/(2*a);
* *    ** ** *     * * *** *  **  *** *  *  ** ** ***** *** *       ****  **  ** *  *   (-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;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 8

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;
}

Comments

/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 9

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;
}

Comments

/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

---

/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

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 10

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;
}

Comments

/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

---

/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

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output