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);
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*** ****  *  * ********** ** ****  = -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!
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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 4

Hidden content!
   **  ** *  *    * 
# *  ****    ** *
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)
{
*** *       *** * **** **   *  * a, b, c, D, spD, x1, x2;
    
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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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**     **  * **   *** *   * * *  **   * ** ** *****   *  * *  ** *        **  **  **       
** *      * *  **  ****    * ***    ** * *****  ** 
  ****   * * * *** **   ***** *   ** * * ****  * ***  * 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){
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 * **  *      ***  *  ** ** **   ***** * *******      ** ****   *     *  *****  * *** ***  
  *  **   ** **** *  **   * *   *  **   **  *  * *  ** **  *****  *   * *    ** *  {
*** *  ** *** *   ***     **  * *    *** *****  *****  * *    *****   *    *  *   *** *      ***  *  *****   * **  * * * * 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