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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int main(void)
{
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   * *** * *  **** * * ***    = (b*b-4*a*c);
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***  **   **  **   ** *     *  = -b/(2*a);
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*** *    ** **  * *  * *  *  ** (D < 0)
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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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** *  *     *** * *****  **  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;
    
       * **  * * * ** * *    *  **  ** * **  %lf %lf", &a, &b ,&c)==3)
    {
**      * *  **  **    **     *****   * ** * * * **           - (4*a*c);
*  ** * **   *** ***   **   **  ***     * * ***   *   
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*** * **   *** *  **   *  *     * *** *   *   ** *** * **** ***   *  *** * **  *  (-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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** ** **   * * **      * * **  *  *** *  * *** *    ** ** ** *  ** **   ******* {
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* *****  ** *  **   * * * * ** **  **    **  ** *   ***  ******  *  *   *****   ****
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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){
 *** *    ** ** *** ** ******   * ** ** *** * *******  * *****  ***   * ***** ** * **  *   ***** * **   ** *    ****** ****  ** * * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
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*   * *   **    *****   ****   *  * *** **  *** ***  * * *     ** **  * *  ** ** {
  *****  *** *   ** **      ** *      *** **  ** **    ** *** ***  *  ** **** * ***  *** *  **** ** ** ** * ***   *** * *** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,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