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!
**   *  * **   * * *
int main(void)
{
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**** *   *****  ***     **  **  ** = (-b - sqrt(D))/(2*a);
*  ***  ** * ****** * *  **** = -b/(2*a);
*   ****  *****  *   *   *     **    = sqrt(-D)/(2*a);
*  * ** *  **  *     **    (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!
***  * ** * *  *
#  **   * ***         
int main()
{

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

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*   ** *   *** *    **  **  * * * ** * 
*   * *  ***  * * *   *  **  * 
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*  ***  *       *   * *    * *  ***  * **  **    **  *** *** *** * ** = -%.2f+%.2fi\n", realPart,imaginaryPart);
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* **   * *  *    ****** *   ** 
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** *** * *  *      ** ** *

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*  *  *   ****    **  ** *
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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)
{
*  * **** ** *   * *  ** **  * a, b, c, D, spD, x1, x2;
    
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    {
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**  *  *****  * *****  *** * **      *   * *    *  **    
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* **  * *   *** * ***   ** **   * *  *******      *  *  * *  *   *   *   ** * *** (-b+spD)/(2*a);
 ***  ***  ***  * * *  *** **** * *     *    *  **  ** **** **  * *  ** *  ** ***  *  (-b-spD)/(2*a);
***     *** *  **  * **  *   **   * * * * * *****    ** *  * *  ** **  ****  * *** * (x1==x2){
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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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 * ** *** *  *  ** ** *   * * *  **   * * * * ***  ******* *  ***     ***  * **** ** *  **
 * ** *  * *** *   *    * *   *  *** **    ***** * **    
 ***** *  ****     *  **  ** * * * ****** **** *        if(D<0)
*  *   * ** **    ** *** ******  **  ** * * **     
* **   *  ***   * * *** * * *       * *  *  * * *  **  * ***    * * ***  (-b)/(2*a);
   *      ******    *   *  ****** ***** **   *** **** **   * * ******  **    * -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