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!
*     ****** * **  
int main(void)
{
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***  *** * **         **        = (-b - sqrt(D))/(2*a);
*  **   **   * *** **  *  * = -b/(2*a);
**  ** *** * * *    * ** * **   * = sqrt(-D)/(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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#      ***  ***   *** 
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!
** *** * * *  *  * **
#    * ****   **  * *
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==x2){
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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);
*   ***    **  **    * *** ***   **   ** *  * ******  * 
*** **** ***** ***  *      *  * **  ***     **    * **  *  **  
* *  *** **       ** * *  ** *** *  * *    * * **    *
*  * *   *** *    **  *       *  *   *   *  ** **** **** **  * *  ** ** ****   *  * *  *
** *  *   * * *** *  *  ** **** *   *  *** *  ******  * *  *   *     * *   **     * (-b+spD)/(2*a);
*  **** *  *   **   *   * ****   * *  *********  *  **  *    ** ***** *  ***     *** *   * *  (-b-spD)/(2*a);
* *         ***    ****     *****     ** **   **   ** * **** * *** *      **  (x1==x2){
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*   *** **   ** * **  * *   ****  * ** ** *****  ****  **** ** * **    * ** * {
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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);
       *  **** ***  **        *   * *    *  * **  **  *      * * *  **  *** *** (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