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

Hidden content!
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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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* * ***** * ***  *   * *** **   * **   ******   *   * * * * ** * * *  ***  *  *  * -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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*** * * * * * ***    * * **  * 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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***  *        ** ***    ***** *    ***    ** *      * ***   * ****** * * **  **** *   **  (x1==x2){
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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);
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****  *   * * ** *** **  *   *   *  ** **   ** ** ***
* * **  *  ****  *     *  **  *****  ***   *****      ******  * **  * **** ** (-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