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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}

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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*  *** **  **  * *  * *  *  * *   * *** ****** **  * **   ****       (-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);
** *** **     *   *   *     *  * *** *  **  ***    * *
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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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* ****  ** ** ****** * ** *  * * ** **** *    *    *   ** * **   *  * ** **    *     **  * -x1;
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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);
 ** ***     * ** **  *** *******   * * **  *** * **  ***** *** ** ** **   * *   (x1==x2){
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  * *  *********  *** **  *** *     ** ******* *  *** * ******    *  ****         {
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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