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

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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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**  * ** * *  * *      **** ****   = (-b - sqrt(D))/(2*a);
* *****     ** ** ****   **  *  = -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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#  **   *******  
int main()
{

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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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 * *  *****  ** *** ** **   * * **  * * *** %f *   *  * ** ***** ***  ** ******
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****     *** *  ** ****  *** * 
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   * **    ****  *    ** * *    if(D == 0)
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** *  **  * *  ** *** ** * ****
****    ** ** ******   *** * * * 0;

}

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)
{
*    * **  * ** *   **** *      a, b, c, D, spD, x1, x2;
    
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    {
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**  *   *  ***   *      ****  * **  *  **  * * **  * **  ** * * *   * *   * * ***   * ** (-b+spD)/(2*a);
**** * * ***   * ******  * *    * ***   * * **       *****        ** **     * * *   *    (-b-spD)/(2*a);
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** **   * * * **   ****** **    **  ******* ****   *   *    *      *   **   * ****   *   *** *   ****  *   * **   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
* **  *   * ** *   *  *    *  *** *   * ** ** *   ** * *  * * *  *****  * *** 
****  *** ***   **  * ***** *  ***     *        **  *    * **** **  * **  * * * {
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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);
 **  **  ****  **  *      **   *    ***    *
 *  **    * *********   ** *  * ** *   *** *   * *  * *   ***     
**  ** ***  **  ** **** ***   * * ***  *   *      *  *
*  ****  ****  ***** * * *  ** ** ******  ** ** ****   *    *** ** ** *****  *  ***  * *
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 *   ** *   ** ***** *  *  * *  * ***  * ***   * ** *** * **  *  *   * * * * *  ***  ***     * (-b-spD)/(2*a);
**  *  **  ***  ***  *  ***** *** *  *   *  * *******    **  * * * *   ***   ** *   * **** (x1==x2){
  ******* *   *  * * ** **  *  * * * * * ***   *****  ** *     **** **  ******** *****   ***  *   * *** ** *** * *  ** **********   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
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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);
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***   *****  **** ****    * * * ** ***      ** * *   **    *  *    * **  *** * * **  * * {
 **  * * ** ** *   **    *  ****  * **    **    * ***  * * *   *   * *   ******   **   ** * ******** *  * **** ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
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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