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

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{
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**   *** *     *    ** *** ** (D < 0)
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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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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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**   * *  ****   ***  *** * * *  ** *  *  ***    if(D<0)
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   **   **** * **  **   **  **  *  *****   ****   ******    **   * **    *** **** **  -x1;
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*  **     *    * * *** *  * ****** *    ** * * * * **  *  
 *  ** *  **      *  *    
    
* *      * *   * * * *  ****   * *  *  * *  * ****  *
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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)
    {
 *** *  *  ** **** *  * ****   **** ******  * *  ***  ** - (4*a*c);
******    ***     ** * *   *    *   ***   * * * ** ** * *   *
** ***  *   *    * *****  ***  *     * ** *  *  *** **   
 *   * ** *         ***  ****   *  ***     *    * *
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*** * * ******* * * ***     * **  *      *** * **   ***** ****  *     *   *     *  * (-b+spD)/(2*a);
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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);
**     * ** ****** **  ** ** **  * * * ** * *    *** *  * *  ** ** **  * ** * *  *  (x1==x2){
***   ** **            * *    **        * **  ***   **    ***      ***  *** * ****** * * *  ** **  **   **  **  ** **  **** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
 ***    **** *  **   ******* * **   *    *  *  *** *  * * ** ** **  **   *  **  ***
 *  * *** * * *    *  ** ******  *** * *  *  * ***  ** ****  *   * ** *    {
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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