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

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