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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}

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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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

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***   ** * ******* ***  
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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 5

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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***   ****** ** * * *   **** **  ****    *** *   ****     
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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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 **  ** * * * ****** * ****** *
    
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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;
    
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    {
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* * *  *****     ****  *  *  ** * * ****  ** 
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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)
    {
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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\n",a,b,c,x1);
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*   * ** ***   **  * * **  **** ***** *    * * *  *  * *** * * *     *** *** {
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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