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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{
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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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}

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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**      *       *****  ** * **  * *  *   ** *  **  *  *    
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 * *      *  ** ***** *    ** * *  **** *     * *  *     ** *  **  *   * * ** -x1;
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* ** * ***  *  ** ** * * *   ***** * ** ****  ***  **  * 
* ***  *******   ******* **  ** 
    
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* * *  **** *  *  *  *** **** 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)
    {
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* ** *** * ******* **  ****  * *    * *   ** *   * * *** *  
*** *  *  *** ***  *  *  ** **   ***** **    **  **  * ***** **
* **   * ***     * **   * **  *****    * ***  * * ** *  
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}

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){
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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