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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**    * ***  *****  ** *  ***  (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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}

Comments

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

Answer 4

Hidden content!
  *** **   *  *  ***
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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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    {
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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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* *** *  *** *   ** * ***  * * * ***   ***  **** * * ***     **** * * *   ** *
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* **  *   *   ****  *   ***  *  ** * * * **  * * ** **** ** ** *  * *    *  * 
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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){
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  **** *   *  ** * **  ******  * ***  ****  ** ***  *  
**   ***    *  ****  ** ** **      * ******  *    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