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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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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}

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;
    
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    {
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 * *  **** * **       ****** *     *       * * **  * **
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   *    ** *  ** * *   *   **    **  *  **** *** ***** ******   *    ***  * * * * ****** ** ** *  **   * **  ***  * 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