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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{

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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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**    * *****  ****    **   ***** * **  **  ***  *       *** ** * * ** *** **        -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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}

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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 * ***  **   ***  *******  ****  ******** **  *  ** ** **
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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)
    {
 *  *  * * ***  ** *  ** **  * **  **  * * * ** *  *  **    - (4*a*c);
****** * ***    * * ** *** *****  ** * * * **  * 
 *   *   *  *   * *  *   *** ** ****  * *      *   ****     *
    *     ****  ***** * * **     *   * *    **  ****
**  *  **  **  *  *** *   *****  ****  ****** * *  ** *  *    ***** ***    **   * **
*   * *  *    ***   *  * * ***  *      ***    **  * * *   ** * **   *    **   * *  *   *  * * (-b+spD)/(2*a);
    ***** ***   **     *  ** ****         * ** * * * *   ** ***    ****  * *  * *   ***    (-b-spD)/(2*a);
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*  *     **  *******     *   * *  *      *      *  **** *  ** *  * ****
*** **   ** *     ***** * *** ** *    ****   *    **** ***    *******  ***** *   {
* ***   ***    *     *  ** *     ** * ** *    *** ******* *** *** ***   * *  ** ******  *  ** *    *  ** * **     * *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,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