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

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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

Hidden content!
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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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}

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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*** *** *    ****  *      * * * **** ** * ** *    ***     * ******  *   ** -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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*  *  *       ***  * *  ** ***** 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)
{
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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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  ****   * * * *   **  * * **** ***  *   * * *  **
** **** * *         *   *  * *   ****   * *****  *  **     *  ** *** **  *         * ****
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****    ** **   *  * * *  ****  * *    *    * ****  * ** *    ** * **   ****    (-b-spD)/(2*a);
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 * ** ** * * * * *   *         *  ***   ***  *     ***    **** * ******* * *  *  (-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