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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{
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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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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

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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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**  ** ** ****   ** ** * *  *    ** *  *   *   ** * ***
** * *** * **    ** * ** **  * * 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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* *** *      ** * **** * ** **   * *  **  * *  ***     *       
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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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 *** ** *   *** * *  *  ** * **  * * ****  *** ****  * ****  * 
 *****   ** **   * ** *      **** **  ** ** **  * *   * ** 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