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/(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

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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)
{
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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);
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 **  **  *      *     **** *  ***  *  * ** ******** **   * ** **   *   **** * ** 
*   ** * * *  **   *   ** * * **  *  *****  **  * *  *
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* ***  * *** ** **** * ******  *  *    * ***      * *      
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* *** ** **** * * **** ***        * * *** **** * *      *** ** ** **    * *  ** -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