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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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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}

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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*****  *    ** **** ** ***    *  ****  * * *  ** ***      *** *  * *        -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;
    
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    {
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* *  *  **          * *    *    * *   ***  ***
****  *  ****  *   ** * **   *   *    *   *** * *    *   *  **  * * *
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**** *   **** **  ** *   ***** * *  **   *   *  *     
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*   **  * * **  * *  * *** **   ** *     * *   *  **  * *** 
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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);
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* *  *** *  * **    ***   **** ** ** *  * ** ** *  ** **     ** *** 
  ** * ***      *** *  * *  ***   *    *   **  **  * * *
*** * * *   *** * *** * *  **    ** *   ***** *****  ****  *****  * * *** * *   ** ** **  **     
   ******  * * * *****  **** *  **     *** ***** ** ** *     **** *******  *    *  **** (-b+spD)/(2*a);
 *******        *  **   *   *   *      *** * *** **   **  *          *  *   ** ***  * ** ** (-b-spD)/(2*a);
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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