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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***   *  ** **      *** *  * ***  = -b/(2*a);
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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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#  ***  ** * * * *     
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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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}

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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* ****  *  **  **** *    ** * *  ** *  * *  * * *  *  *    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: 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);
 ** ** * *  * *****  * **   ** *****  *     ***  * * * ** * 
  *  * ** *     * * * ****       * *  *      * ** * ***** ****  *
 * **** * ** *  * **     ******* **** **  * * *****
 * ******  ** * * ***** **  * *     ***  ***  * * ** *** *  ** **    *  ** ** * *****  **** *** *
 * ** ****    * *  **  ***   **  *   ***   **** * ** * *  * **** **  *** * *      * *  (-b+spD)/(2*a);
**  *  * **  ****  *    *** ****    *****  ***     *   *   *      *     **** (-b-spD)/(2*a);
***   **   *  *  *  *** * * ******* * ****   ****  *  ***   *  **   ** *   ****  * (x1==x2){
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* *  * * *        *   *** *** * * ** *** ** *   *** **** *  ***  ***      ** **  ** ***
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* ***** ** *  *  ** **** **  ******   *   **** if(D<0)
 * *   ** *       ** *****     ***  *  ***   * ***  *   ****    
*  ***** * **   *** ** ***** *** ******   ** **    *  ***  ***  **  ** *       ****  (-b)/(2*a);
 ** ** ** *    *** *  * ** * **    *** *   *   *** *   **  *  * **** ****     ***   -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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 *  * * *  *  ***  **  *** ** ********   *       * *  ****  ** ****   * *   **  
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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