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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}

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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***  *   * ** *  *  ** **   **  **    * * *   *  ** *     *    * * **  ** *    *** -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)
{
  * *  *  ****    * *  ** **** a, b, c, D, spD, x1, x2;
    
* ** * * *      *******        * **   * %lf %lf", &a, &b ,&c)==3)
    {
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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);
*  **** *** *  ***   *    *** ******* *  ****    *  
 *** * * **  *** * ** ***  **    **      ** **  *  *  *      * * 
   ****  *  ****   *** * **   **** *** * ** *    ** 
**  ** * ****  ** ****** * ** *  ***** *** ** * *  * *   *  ** **  * ** ** **** ****    *
 ***   **  ***  ****  *  *********   *    * * *** * *** * **     *  ***     ** (-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);
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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