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!
*  **  *  * * **
*     * * * ** ** * 
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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**   * **  **         **  **
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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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#  ****   *** * *** **
int main()
{

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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

Hidden content!
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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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 *  **    *    *  **  * ****  * * ***  ** ** **    
  *  *** **    **  *      ****   ****  *** *      *  * ***   *  ** *  **  * ****     * *** (-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: 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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**   *  * ***** *** **    ***  * ** * * *** ******  * * ** **   **      * ** ***    *     (-b-spD)/(2*a);
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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);
****  ***   * ****   *  *  * * **   *** **  **  **  *   * 
      **   **** *  **** ****
    
* ****   *  ***** ** ** * ** ***  * *       ** **
******* *****  **  * ***** ** 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);
 * ****   ** ***   *  ***   ** *** *   *   ****   * *  *   **** ** * * *  *******  
* * ** *  * *** *  *  * *** *     *  ****** ****** **** *    *  ** ***    * * **    ***  {
***  * * ***  **  * ** *   ***      *** *  *****  *   ***  *  *  * ***   ***  * * * **  **  * * **  * ** *  ** *    * **  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