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

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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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{
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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

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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

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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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** *****  ** * **  * *  *  *  * ****  **    *  *       
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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);
 * *  *   **  * * **    **  *** * *******  
* **  *** **    ** *  ** 
    
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* *    * * **    ******  * **  **  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)
{
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*  **** ** *  *  **  **  *   * **  *** ****** %lf %lf", &a, &b ,&c)==3)
    {
 **** **     *****   * ******  *  **      ** * **  * * *  - (4*a*c);
 *** ** * ***   ***    * *** **  * * *   **  *     *
* **   *   ** **  ***** ********** *  *    * *** ******    *   **
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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);
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*** *  *  **      ****   ***   *  * *        *** *** **  * *****    **     * *  *****  {
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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