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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*  * *****     *    ***
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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!
*** **   * *  ** *** 
int main(void)
{
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* * * * **  * *  * *** *  = (-b + sqrt(D))/(2*a);
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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

Hidden content!
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#  *    **  * ** *  
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{

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****   ** *   * *** * ** * * 0;

}

Comments

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

Answer 4

Hidden content!
** *   * * ***** * * 
# * * * *      * *  * **
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);
*   *****  ** * ***** * *   * ** ** **  *** ** * **  *  
 *  * *      *  *** * * **
    
 ** **  * ***  ** *  ***  *   * * *** ****   *  * 
* **  *****   ***  **  *  * ***   * 0;
}

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);
 ****  *   *   *** * ***   ** ****   *  ******   * *  * ****  *   *  ****** **** * (-b-spD)/(2*a);
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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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* **    *  * *  ***   * * *  * **   **  **  *   **  **********   * * * *****  *  **  *
**** * ****    *** * **    ** *** * ******    *******    **** ** * * *   **** * *    {
**** ** ***** **  **  *** * * ***   ***** * *   ****** * *  ** *  **   * * * * ***   *** ** **** **   *** * *** *    *  ** 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