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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Comments

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

Answer 2

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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

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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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}

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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}

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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}

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);
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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