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

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int main(void)
{
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*  ***** *   *   *  ** * * *   = -b/(2*a);
   ***    * *  **  ** * * **  **   = sqrt(-D)/(2*a);
 ** *  * ** ** *  ** *** **  **   ** (D < 0)
 * **      *  *  ** *   **  
***   *  **  *  *  ** * *  ** *  * ** * ** complex and  *  ** * *  *    
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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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* *   *    ****  * * **  * * 
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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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*  ****   *   * * * * **  *

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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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*    **  *****  ***** **  *  * * *** ******* * *  *  *** ** * *  * * ***   * * 
 **    *  * **** ***  *  * * *****  * **  *  * * ** **** 
* *************  *****  *** ******    *** ** **   * **  if(D<0)
  * ** ***  ** ** ***    * ***  *  * ***        * *  **       
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****** **  ** * ***   *     * *** *****  *    * ** **     *   ** *  * **   *   * -x1;
   *   **  *  *  ** ******  * ***     * *  ***  **   ** *** ***** **  ** **  *   * **   ****   of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
  * *** ****** *** * * *  *  ******  *     **  *  **  **
*  * **   *  **   *** * * *  
    
 **   * ** *****    * ***  *  *    **** *  *  **    
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}

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);
* ** *  ** ***    *  * ** *  *** *****  ***  *  ****  *  **  ** ** * *  ** *****   * ** * (-b-spD)/(2*a);
*    ***   ****   * * *** ** ** **   ** ** *   ***  *** * *******  * **  *  * * **  (x1==x2){
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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