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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}

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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* **** ***  * ** ** * ***  * ** *     ***  * ****   *** *****  * * *     **  * *** *  *** * ***   *  *  *   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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}

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)
{
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 **   **   * *   * * **   **    * * *   **** %lf %lf", &a, &b ,&c)==3)
    {
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***  * ** ** *     *** * * **    *     ***** ** * **  *
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}

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)
    {
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**  *   * * *  *   *      *  ** *  **    *   *  ** 
     *  ** ** * **     *  **   ** * * *  * * * * * * * *     * 
 ** **   **   ** *  **** * ******   ***  ***  ***** ** *
   * ** *  ***  ** * ***  **    *   ****   ** ****  ****** *  *  **  *  ** *  *** *  *******
 *  * ***  **    *****  ** *****  * *  ** * *  *     ***** *   *     ** *** ** * *  **  (-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