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!
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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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*    ** *   * **  *  ******  * * 0;

}

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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* ** **   *  * *  ** ***** *   *******       *  **** * ** *  ** **** * * *** **     ** (-b)/(2*a);
*** *  * * **** **** * * ***   *  * *  **   * **    * ** * *  * * * *** **  **    * *  ** *  ** -x1;
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 **  *** * *  *      *  ***** * *  * * **   **    **  
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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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*  ** * ** * *  *     ** **** *   * **   ** **  ** *   **      
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 **  ****      *  *   *** **   * *****  **   ** **   *** *  ***  *  **     * ** *  ***  -x1;
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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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*  **  ***  *   ** ** * * *** ******  *    **  ** *     ** ** **** * * **  *** * ** ***** * *   **          ****  **  * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
    **   *** **  ** * * *  ** ** ***  * *  ***  ** *** * * * * ** ** ** ****
  *  *** *  **** ** *  *   *  * ***  * *** * ** *
*    ** ** **  ***** * **   *    *   *       *  **  ** **    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