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);
*    * * *     *    * * *  ****  ***  ** = sqrt(-D)/(2*a);
*  ****  **   ** *  ***   *    (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

Hidden content!
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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 4

Hidden content!
*   *  *  **** *     ***
# **** *      * *****
int main()
{

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***  *  ***  *******   *   *
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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)
{
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 *  *  *   *** ** *** **  * * * ** ****   ***  %lf %lf", &a, &b ,&c)==3)
    {
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*   **   *     **  * ** * **   ***   *   *** **  *   * 
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* * **** ** * * *  **  *  * ***  *****  *  ***  *   ***  *   *   ****  * * * **  (x1==x2){
* ***  **  *  * *   * ** * ***    * *     ***  *    *      ****** *  ******* **  ***   * ** *  ****     *   ** ******   ** 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);
***   **   *     * *     *** ****  ***  * * *****
*  * *** *   ***  *  ****** *   * ******   ** ***  **** **  **
* *** ***    * * *     ** *  ** **    ****   ** * ***** ** 
  *   *  * *  **     * *******     *** ****** *   *  *     *     *  * **     **  **** *  * *  * ****** 
 *** ** ** *  *    *  *** *  * **  *   ** ** *****  *****  * *  ** **  ***  **  ** ***   ***   (-b+spD)/(2*a);
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 *** *  * **   ** * **    ***** *   *  *    *** * * * *   *        *  * *  * *  (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;
 *    ** *  *****   *** *  ************** *** *   *  ** *   * **  * *  ****  *  **  * *** *   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

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