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/(2*a);
***** ** **    *    *  **  *** **   = sqrt(-D)/(2*a);
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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

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*** ** * *  **      * 
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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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*** * *  * ** * *   * ** ** *** ** ***** *** *   * *   ** * ***     *  ***
**     *****  * ***      * **** ** **** **    **  ** 
**  **  **     *    ** * ** * *    *  *  * * ** *** ***  if(D<0)
**** *   ** **  * *    * *** **  *** ***** ** ** *    
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      ***** * *     * *** ** * *   ****  *    *    *** ****   *  ******* *  *   * * * *  *  * *    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);
* *  * * *   ** *    ***  * * **        * * *** 
  *  * ** * * ***  **    * *** *  **   *  **     * ***  **** *    *** * *
** **  * * ** **       *** **   ***** *** * *****   *   
* *   *     ***  * *    *  *  *       *     ** * ***** ** *    ** *   *****  ** ** 
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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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* **  *** *** *** ** * **** ***  ******* ****  **  ***   ** ****     * ***** *  *****  *  {
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* ** ** ** * *  * * **  * *  *  ******  *** *  **   
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* ********  ** *  ** ****   ***** ****  *  *       *    
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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