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

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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);
*  *   * **  *   *     * * *   **  *  *  ** **   *  ** *****
****   *  ***  *  ** * **  ***
    
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}

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);
** *  *     *   * *   *  ** ****** * *  ** ** * *  ***  * *
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 * ***  * * * **     * ***  *** * * **** * * *** ** 
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****   * * ****  ** ***** ** *      ** *      *** ****    ***  **** *** **  * *   (-b+spD)/(2*a);
  * **  ***** *  **   * *****   *  * * **   *  * *  *    ****   *******     (-b-spD)/(2*a);
******** * *** **  *   **** ******  ** ** * ******  * **   **  **    *  * **   * (x1==x2){
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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